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Finding the Third Proportional to 85,259 and 129,077

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Solution

The third proportional to 85,259 and 129,077 is: 195,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,259 : 129,077 = 129,077 : x
  2. Step 2: Convert to fraction form
    85,259/129,077 = 129,077/x
  3. Step 3: Cross multiply
    85,259x = 129,077 × 129,077
  4. Step 4: Simplify right side
    85,259x = 16,660,871,929
  5. Step 5: Solve for x
    x = 16,660,871,929/85,259
  6. Step 6: Final answer
    x = 195,414.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.