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Finding the Third Proportional to 106,940 and 216,472

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Solution

The third proportional to 106,940 and 216,472 is: 438,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940 : 216,472 = 216,472 : x
  2. Step 2: Convert to fraction form
    106,940/216,472 = 216,472/x
  3. Step 3: Cross multiply
    106,940x = 216,472 × 216,472
  4. Step 4: Simplify right side
    106,940x = 46,860,126,784
  5. Step 5: Solve for x
    x = 46,860,126,784/106,940
  6. Step 6: Final answer
    x = 438,190.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.