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Finding the Third Proportional to 422,778 and 654,352

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Solution

The third proportional to 422,778 and 654,352 is: 1,012,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,778 : 654,352 = 654,352 : x
  2. Step 2: Convert to fraction form
    422,778/654,352 = 654,352/x
  3. Step 3: Cross multiply
    422,778x = 654,352 × 654,352
  4. Step 4: Simplify right side
    422,778x = 428,176,539,904
  5. Step 5: Solve for x
    x = 428,176,539,904/422,778
  6. Step 6: Final answer
    x = 1,012,769.21

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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.