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Finding the Third Proportional to 140,940 and 218,136.38

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Solution

The third proportional to 140,940 and 218,136.38 is: 337,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 218,136.38 = 218,136.38 : x
  2. Step 2: Convert to fraction form
    140,940/218,136.38 = 218,136.38/x
  3. Step 3: Cross multiply
    140,940x = 218,136.38 × 218,136.38
  4. Step 4: Simplify right side
    140,940x = 47,583,478,098.14
  5. Step 5: Solve for x
    x = 47,583,478,098.14/140,940
  6. Step 6: Final answer
    x = 337,615.14

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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.