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Finding the Third Proportional to 402,282 and 554,147

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Solution

The third proportional to 402,282 and 554,147 is: 763,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282 : 554,147 = 554,147 : x
  2. Step 2: Convert to fraction form
    402,282/554,147 = 554,147/x
  3. Step 3: Cross multiply
    402,282x = 554,147 × 554,147
  4. Step 4: Simplify right side
    402,282x = 307,078,897,609
  5. Step 5: Solve for x
    x = 307,078,897,609/402,282
  6. Step 6: Final answer
    x = 763,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.