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Finding the Third Proportional to 642,775.50 and 853,269.19

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Solution

The third proportional to 642,775.50 and 853,269.19 is: 1,132,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,775.50 : 853,269.19 = 853,269.19 : x
  2. Step 2: Convert to fraction form
    642,775.50/853,269.19 = 853,269.19/x
  3. Step 3: Cross multiply
    642,775.50x = 853,269.19 × 853,269.19
  4. Step 4: Simplify right side
    642,775.50x = 728,068,306,336.91
  5. Step 5: Solve for x
    x = 728,068,306,336.91/642,775.50
  6. Step 6: Final answer
    x = 1,132,694.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.