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Finding the Third Proportional to 501,191,344 and 1,076,417,008

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Solution

The third proportional to 501,191,344 and 1,076,417,008 is: 2,311,838,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,191,344 : 1,076,417,008 = 1,076,417,008 : x
  2. Step 2: Convert to fraction form
    501,191,344/1,076,417,008 = 1,076,417,008/x
  3. Step 3: Cross multiply
    501,191,344x = 1,076,417,008 × 1,076,417,008
  4. Step 4: Simplify right side
    501,191,344x = 1,158,673,575,111,672,064
  5. Step 5: Solve for x
    x = 1,158,673,575,111,672,064/501,191,344
  6. Step 6: Final answer
    x = 2,311,838,759.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.