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Finding the Third Proportional to 371.62 and 781.68

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Solution

The third proportional to 371.62 and 781.68 is: 1,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 781.68 = 781.68 : x
  2. Step 2: Convert to fraction form
    371.62/781.68 = 781.68/x
  3. Step 3: Cross multiply
    371.62x = 781.68 × 781.68
  4. Step 4: Simplify right side
    371.62x = 611,026.19
  5. Step 5: Solve for x
    x = 611,026.19/371.62
  6. Step 6: Final answer
    x = 1,644.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.