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Finding the Third Proportional to 142,728 and 337,541

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Solution

The third proportional to 142,728 and 337,541 is: 798,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728 : 337,541 = 337,541 : x
  2. Step 2: Convert to fraction form
    142,728/337,541 = 337,541/x
  3. Step 3: Cross multiply
    142,728x = 337,541 × 337,541
  4. Step 4: Simplify right side
    142,728x = 113,933,926,681
  5. Step 5: Solve for x
    x = 113,933,926,681/142,728
  6. Step 6: Final answer
    x = 798,259.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.