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Finding the Third Proportional to 781.68 and 1,448.03

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Solution

The third proportional to 781.68 and 1,448.03 is: 2,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,448.03 = 1,448.03 : x
  2. Step 2: Convert to fraction form
    781.68/1,448.03 = 1,448.03/x
  3. Step 3: Cross multiply
    781.68x = 1,448.03 × 1,448.03
  4. Step 4: Simplify right side
    781.68x = 2,096,800.16
  5. Step 5: Solve for x
    x = 2,096,800.16/781.68
  6. Step 6: Final answer
    x = 2,682.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.