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Finding the Third Proportional to 478,261,190,341 and 1,054,007,243,024

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Solution

The third proportional to 478,261,190,341 and 1,054,007,243,024 is: 2,322,854,730,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,261,190,341 : 1,054,007,243,024 = 1,054,007,243,024 : x
  2. Step 2: Convert to fraction form
    478,261,190,341/1,054,007,243,024 = 1,054,007,243,024/x
  3. Step 3: Cross multiply
    478,261,190,341x = 1,054,007,243,024 × 1,054,007,243,024
  4. Step 4: Simplify right side
    478,261,190,341x = 1,110,931,268,347,053,452,820,480
  5. Step 5: Solve for x
    x = 1,110,931,268,347,053,452,820,480/478,261,190,341
  6. Step 6: Final answer
    x = 2,322,854,730,393.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.