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Finding the Third Proportional to 155,540 and 240,599

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Solution

The third proportional to 155,540 and 240,599 is: 372,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,540 : 240,599 = 240,599 : x
  2. Step 2: Convert to fraction form
    155,540/240,599 = 240,599/x
  3. Step 3: Cross multiply
    155,540x = 240,599 × 240,599
  4. Step 4: Simplify right side
    155,540x = 57,887,878,801
  5. Step 5: Solve for x
    x = 57,887,878,801/155,540
  6. Step 6: Final answer
    x = 372,173.58

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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.