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Finding the Third Proportional to 641,778 and 997,767

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Solution

The third proportional to 641,778 and 997,767 is: 1,551,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,778 : 997,767 = 997,767 : x
  2. Step 2: Convert to fraction form
    641,778/997,767 = 997,767/x
  3. Step 3: Cross multiply
    641,778x = 997,767 × 997,767
  4. Step 4: Simplify right side
    641,778x = 995,538,986,289
  5. Step 5: Solve for x
    x = 995,538,986,289/641,778
  6. Step 6: Final answer
    x = 1,551,220.18

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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.