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Finding the Third Proportional to 86,618.25 and 129,574.50

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Solution

The third proportional to 86,618.25 and 129,574.50 is: 193,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618.25 : 129,574.50 = 129,574.50 : x
  2. Step 2: Convert to fraction form
    86,618.25/129,574.50 = 129,574.50/x
  3. Step 3: Cross multiply
    86,618.25x = 129,574.50 × 129,574.50
  4. Step 4: Simplify right side
    86,618.25x = 16,789,551,050.25
  5. Step 5: Solve for x
    x = 16,789,551,050.25/86,618.25
  6. Step 6: Final answer
    x = 193,833.88

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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.