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Finding the Third Proportional to 115,474.50 and 240,129

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Solution

The third proportional to 115,474.50 and 240,129 is: 499,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,474.50 : 240,129 = 240,129 : x
  2. Step 2: Convert to fraction form
    115,474.50/240,129 = 240,129/x
  3. Step 3: Cross multiply
    115,474.50x = 240,129 × 240,129
  4. Step 4: Simplify right side
    115,474.50x = 57,661,936,641
  5. Step 5: Solve for x
    x = 57,661,936,641/115,474.50
  6. Step 6: Final answer
    x = 499,347.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.