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Finding the Third Proportional to 63,981 and 135,337.50

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Solution

The third proportional to 63,981 and 135,337.50 is: 286,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 135,337.50 = 135,337.50 : x
  2. Step 2: Convert to fraction form
    63,981/135,337.50 = 135,337.50/x
  3. Step 3: Cross multiply
    63,981x = 135,337.50 × 135,337.50
  4. Step 4: Simplify right side
    63,981x = 18,316,238,906.25
  5. Step 5: Solve for x
    x = 18,316,238,906.25/63,981
  6. Step 6: Final answer
    x = 286,276.22

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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.