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Finding the Third Proportional to 115,211.25 and 239,619.38

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Solution

The third proportional to 115,211.25 and 239,619.38 is: 498,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211.25 : 239,619.38 = 239,619.38 : x
  2. Step 2: Convert to fraction form
    115,211.25/239,619.38 = 239,619.38/x
  3. Step 3: Cross multiply
    115,211.25x = 239,619.38 × 239,619.38
  4. Step 4: Simplify right side
    115,211.25x = 57,417,444,875.39
  5. Step 5: Solve for x
    x = 57,417,444,875.39/115,211.25
  6. Step 6: Final answer
    x = 498,366.65

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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.