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Finding the Third Proportional to 802,902.38 and 1,244,691.56

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Solution

The third proportional to 802,902.38 and 1,244,691.56 is: 1,929,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,902.38 : 1,244,691.56 = 1,244,691.56 : x
  2. Step 2: Convert to fraction form
    802,902.38/1,244,691.56 = 1,244,691.56/x
  3. Step 3: Cross multiply
    802,902.38x = 1,244,691.56 × 1,244,691.56
  4. Step 4: Simplify right side
    802,902.38x = 1,549,257,085,758.69
  5. Step 5: Solve for x
    x = 1,549,257,085,758.69/802,902.38
  6. Step 6: Final answer
    x = 1,929,570.93

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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.