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Finding the Third Proportional to 641,776 and 997,764

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Solution

The third proportional to 641,776 and 997,764 is: 1,551,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,776 : 997,764 = 997,764 : x
  2. Step 2: Convert to fraction form
    641,776/997,764 = 997,764/x
  3. Step 3: Cross multiply
    641,776x = 997,764 × 997,764
  4. Step 4: Simplify right side
    641,776x = 995,532,999,696
  5. Step 5: Solve for x
    x = 995,532,999,696/641,776
  6. Step 6: Final answer
    x = 1,551,215.69

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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.