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Finding the Third Proportional to 155,702 and 240,843

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Solution

The third proportional to 155,702 and 240,843 is: 372,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,702 : 240,843 = 240,843 : x
  2. Step 2: Convert to fraction form
    155,702/240,843 = 240,843/x
  3. Step 3: Cross multiply
    155,702x = 240,843 × 240,843
  4. Step 4: Simplify right side
    155,702x = 58,005,350,649
  5. Step 5: Solve for x
    x = 58,005,350,649/155,702
  6. Step 6: Final answer
    x = 372,540.82

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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.