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Finding the Third Proportional to 63,981 and 83,655

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Solution

The third proportional to 63,981 and 83,655 is: 109,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 83,655 = 83,655 : x
  2. Step 2: Convert to fraction form
    63,981/83,655 = 83,655/x
  3. Step 3: Cross multiply
    63,981x = 83,655 × 83,655
  4. Step 4: Simplify right side
    63,981x = 6,998,159,025
  5. Step 5: Solve for x
    x = 6,998,159,025/63,981
  6. Step 6: Final answer
    x = 109,378.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.