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Finding the Third Proportional to 452,172.38 and 699,829.88

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Solution

The third proportional to 452,172.38 and 699,829.88 is: 1,083,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,172.38 : 699,829.88 = 699,829.88 : x
  2. Step 2: Convert to fraction form
    452,172.38/699,829.88 = 699,829.88/x
  3. Step 3: Cross multiply
    452,172.38x = 699,829.88 × 699,829.88
  4. Step 4: Simplify right side
    452,172.38x = 489,761,853,942.52
  5. Step 5: Solve for x
    x = 489,761,853,942.52/452,172.38
  6. Step 6: Final answer
    x = 1,083,130.86

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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.