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Finding the Third Proportional to 422,748 and 655,605

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Solution

The third proportional to 422,748 and 655,605 is: 1,016,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,748 : 655,605 = 655,605 : x
  2. Step 2: Convert to fraction form
    422,748/655,605 = 655,605/x
  3. Step 3: Cross multiply
    422,748x = 655,605 × 655,605
  4. Step 4: Simplify right side
    422,748x = 429,817,916,025
  5. Step 5: Solve for x
    x = 429,817,916,025/422,748
  6. Step 6: Final answer
    x = 1,016,723.71

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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.