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Finding the Third Proportional to 472.71 and 781.21

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Solution

The third proportional to 472.71 and 781.21 is: 1,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 781.21 = 781.21 : x
  2. Step 2: Convert to fraction form
    472.71/781.21 = 781.21/x
  3. Step 3: Cross multiply
    472.71x = 781.21 × 781.21
  4. Step 4: Simplify right side
    472.71x = 610,284.43
  5. Step 5: Solve for x
    x = 610,284.43/472.71
  6. Step 6: Final answer
    x = 1,291.03

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.