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Finding the Third Proportional to 239,360 and 371,680

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Solution

The third proportional to 239,360 and 371,680 is: 577,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,360 : 371,680 = 371,680 : x
  2. Step 2: Convert to fraction form
    239,360/371,680 = 371,680/x
  3. Step 3: Cross multiply
    239,360x = 371,680 × 371,680
  4. Step 4: Simplify right side
    239,360x = 138,146,022,400
  5. Step 5: Solve for x
    x = 138,146,022,400/239,360
  6. Step 6: Final answer
    x = 577,147.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.