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Finding the Third Proportional to 81,472.50 and 115,323.75

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Solution

The third proportional to 81,472.50 and 115,323.75 is: 163,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.50 : 115,323.75 = 115,323.75 : x
  2. Step 2: Convert to fraction form
    81,472.50/115,323.75 = 115,323.75/x
  3. Step 3: Cross multiply
    81,472.50x = 115,323.75 × 115,323.75
  4. Step 4: Simplify right side
    81,472.50x = 13,299,567,314.06
  5. Step 5: Solve for x
    x = 13,299,567,314.06/81,472.50
  6. Step 6: Final answer
    x = 163,239.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.