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Finding the Third Proportional to 781.31 and 1,209.94

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Solution

The third proportional to 781.31 and 1,209.94 is: 1,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.31 : 1,209.94 = 1,209.94 : x
  2. Step 2: Convert to fraction form
    781.31/1,209.94 = 1,209.94/x
  3. Step 3: Cross multiply
    781.31x = 1,209.94 × 1,209.94
  4. Step 4: Simplify right side
    781.31x = 1,463,948.75
  5. Step 5: Solve for x
    x = 1,463,948.75/781.31
  6. Step 6: Final answer
    x = 1,873.70

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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.