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Finding the Third Proportional to 100,397 and 155,541

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Solution

The third proportional to 100,397 and 155,541 is: 240,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397 : 155,541 = 155,541 : x
  2. Step 2: Convert to fraction form
    100,397/155,541 = 155,541/x
  3. Step 3: Cross multiply
    100,397x = 155,541 × 155,541
  4. Step 4: Simplify right side
    100,397x = 24,193,002,681
  5. Step 5: Solve for x
    x = 24,193,002,681/100,397
  6. Step 6: Final answer
    x = 240,973.36

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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.