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Finding the Third Proportional to 781.31 and 1,045.41

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Solution

The third proportional to 781.31 and 1,045.41 is: 1,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.31 : 1,045.41 = 1,045.41 : x
  2. Step 2: Convert to fraction form
    781.31/1,045.41 = 1,045.41/x
  3. Step 3: Cross multiply
    781.31x = 1,045.41 × 1,045.41
  4. Step 4: Simplify right side
    781.31x = 1,092,874.23
  5. Step 5: Solve for x
    x = 1,092,874.23/781.31
  6. Step 6: Final answer
    x = 1,398.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.