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Finding the Third Proportional to 63,981 and 135,344

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Solution

The third proportional to 63,981 and 135,344 is: 286,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 135,344 = 135,344 : x
  2. Step 2: Convert to fraction form
    63,981/135,344 = 135,344/x
  3. Step 3: Cross multiply
    63,981x = 135,344 × 135,344
  4. Step 4: Simplify right side
    63,981x = 18,317,998,336
  5. Step 5: Solve for x
    x = 18,317,998,336/63,981
  6. Step 6: Final answer
    x = 286,303.72

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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.