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Finding the Third Proportional to 422,787 and 654,363

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Solution

The third proportional to 422,787 and 654,363 is: 1,012,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,787 : 654,363 = 654,363 : x
  2. Step 2: Convert to fraction form
    422,787/654,363 = 654,363/x
  3. Step 3: Cross multiply
    422,787x = 654,363 × 654,363
  4. Step 4: Simplify right side
    422,787x = 428,190,935,769
  5. Step 5: Solve for x
    x = 428,190,935,769/422,787
  6. Step 6: Final answer
    x = 1,012,781.70

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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.