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Finding the Third Proportional to 478,261,190,340 and 1,054,007,243,025

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Solution

The third proportional to 478,261,190,340 and 1,054,007,243,025 is: 2,322,854,730,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,261,190,340 : 1,054,007,243,025 = 1,054,007,243,025 : x
  2. Step 2: Convert to fraction form
    478,261,190,340/1,054,007,243,025 = 1,054,007,243,025/x
  3. Step 3: Cross multiply
    478,261,190,340x = 1,054,007,243,025 × 1,054,007,243,025
  4. Step 4: Simplify right side
    478,261,190,340x = 1,110,931,268,349,161,476,456,448
  5. Step 5: Solve for x
    x = 1,110,931,268,349,161,476,456,448/478,261,190,340
  6. Step 6: Final answer
    x = 2,322,854,730,402.42

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