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Finding the Third Proportional to 240,142 and 347,812

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Solution

The third proportional to 240,142 and 347,812 is: 503,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,142 : 347,812 = 347,812 : x
  2. Step 2: Convert to fraction form
    240,142/347,812 = 347,812/x
  3. Step 3: Cross multiply
    240,142x = 347,812 × 347,812
  4. Step 4: Simplify right side
    240,142x = 120,973,187,344
  5. Step 5: Solve for x
    x = 120,973,187,344/240,142
  6. Step 6: Final answer
    x = 503,756.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.