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Finding the Third Proportional to 78,534 and 125,085

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Solution

The third proportional to 78,534 and 125,085 is: 199,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 125,085 = 125,085 : x
  2. Step 2: Convert to fraction form
    78,534/125,085 = 125,085/x
  3. Step 3: Cross multiply
    78,534x = 125,085 × 125,085
  4. Step 4: Simplify right side
    78,534x = 15,646,257,225
  5. Step 5: Solve for x
    x = 15,646,257,225/78,534
  6. Step 6: Final answer
    x = 199,229.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.