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Finding the Third Proportional to 239,120 and 360,472

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Solution

The third proportional to 239,120 and 360,472 is: 543,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,120 : 360,472 = 360,472 : x
  2. Step 2: Convert to fraction form
    239,120/360,472 = 360,472/x
  3. Step 3: Cross multiply
    239,120x = 360,472 × 360,472
  4. Step 4: Simplify right side
    239,120x = 129,940,062,784
  5. Step 5: Solve for x
    x = 129,940,062,784/239,120
  6. Step 6: Final answer
    x = 543,409.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.