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Finding the Third Proportional to 356,877 and 484,446

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Solution

The third proportional to 356,877 and 484,446 is: 657,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,877 : 484,446 = 484,446 : x
  2. Step 2: Convert to fraction form
    356,877/484,446 = 484,446/x
  3. Step 3: Cross multiply
    356,877x = 484,446 × 484,446
  4. Step 4: Simplify right side
    356,877x = 234,687,926,916
  5. Step 5: Solve for x
    x = 234,687,926,916/356,877
  6. Step 6: Final answer
    x = 657,615.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.