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Finding the Third Proportional to 781.13 and 1,655.06

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Solution

The third proportional to 781.13 and 1,655.06 is: 3,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,655.06 = 1,655.06 : x
  2. Step 2: Convert to fraction form
    781.13/1,655.06 = 1,655.06/x
  3. Step 3: Cross multiply
    781.13x = 1,655.06 × 1,655.06
  4. Step 4: Simplify right side
    781.13x = 2,739,231.88
  5. Step 5: Solve for x
    x = 2,739,231.88/781.13
  6. Step 6: Final answer
    x = 3,506.78

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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.