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Finding the Third Proportional to 781.31 and 1,655.44

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Solution

The third proportional to 781.31 and 1,655.44 is: 3,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.31 : 1,655.44 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    781.31/1,655.44 = 1,655.44/x
  3. Step 3: Cross multiply
    781.31x = 1,655.44 × 1,655.44
  4. Step 4: Simplify right side
    781.31x = 2,740,473.32
  5. Step 5: Solve for x
    x = 2,740,473.32/781.31
  6. Step 6: Final answer
    x = 3,507.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.