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Finding the Third Proportional to 240,418 and 377,131

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Solution

The third proportional to 240,418 and 377,131 is: 591,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,418 : 377,131 = 377,131 : x
  2. Step 2: Convert to fraction form
    240,418/377,131 = 377,131/x
  3. Step 3: Cross multiply
    240,418x = 377,131 × 377,131
  4. Step 4: Simplify right side
    240,418x = 142,227,791,161
  5. Step 5: Solve for x
    x = 142,227,791,161/240,418
  6. Step 6: Final answer
    x = 591,585.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.