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Finding the Third Proportional to 83,978 and 130,023.75

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Solution

The third proportional to 83,978 and 130,023.75 is: 201,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,978 : 130,023.75 = 130,023.75 : x
  2. Step 2: Convert to fraction form
    83,978/130,023.75 = 130,023.75/x
  3. Step 3: Cross multiply
    83,978x = 130,023.75 × 130,023.75
  4. Step 4: Simplify right side
    83,978x = 16,906,175,564.06
  5. Step 5: Solve for x
    x = 16,906,175,564.06/83,978
  6. Step 6: Final answer
    x = 201,316.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.