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Finding the Third Proportional to 115,474 and 240,020

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Solution

The third proportional to 115,474 and 240,020 is: 498,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,474 : 240,020 = 240,020 : x
  2. Step 2: Convert to fraction form
    115,474/240,020 = 240,020/x
  3. Step 3: Cross multiply
    115,474x = 240,020 × 240,020
  4. Step 4: Simplify right side
    115,474x = 57,609,600,400
  5. Step 5: Solve for x
    x = 57,609,600,400/115,474
  6. Step 6: Final answer
    x = 498,896.72

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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.