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Finding the Third Proportional to 86,434 and 129,739

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Solution

The third proportional to 86,434 and 129,739 is: 194,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434 : 129,739 = 129,739 : x
  2. Step 2: Convert to fraction form
    86,434/129,739 = 129,739/x
  3. Step 3: Cross multiply
    86,434x = 129,739 × 129,739
  4. Step 4: Simplify right side
    86,434x = 16,832,208,121
  5. Step 5: Solve for x
    x = 16,832,208,121/86,434
  6. Step 6: Final answer
    x = 194,740.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.