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Finding the Third Proportional to 840,458.25 and 1,257,717.38

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Solution

The third proportional to 840,458.25 and 1,257,717.38 is: 1,882,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,458.25 : 1,257,717.38 = 1,257,717.38 : x
  2. Step 2: Convert to fraction form
    840,458.25/1,257,717.38 = 1,257,717.38/x
  3. Step 3: Cross multiply
    840,458.25x = 1,257,717.38 × 1,257,717.38
  4. Step 4: Simplify right side
    840,458.25x = 1,581,852,995,376.89
  5. Step 5: Solve for x
    x = 1,581,852,995,376.89/840,458.25
  6. Step 6: Final answer
    x = 1,882,131.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.