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Finding the Third Proportional to 103,969,872 and 161,640,963

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Solution

The third proportional to 103,969,872 and 161,640,963 is: 251,301,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969,872 : 161,640,963 = 161,640,963 : x
  2. Step 2: Convert to fraction form
    103,969,872/161,640,963 = 161,640,963/x
  3. Step 3: Cross multiply
    103,969,872x = 161,640,963 × 161,640,963
  4. Step 4: Simplify right side
    103,969,872x = 26,127,800,919,567,368
  5. Step 5: Solve for x
    x = 26,127,800,919,567,368/103,969,872
  6. Step 6: Final answer
    x = 251,301,655.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.