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Finding the Third Proportional to 140,913 and 218,441

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Solution

The third proportional to 140,913 and 218,441 is: 338,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,913 : 218,441 = 218,441 : x
  2. Step 2: Convert to fraction form
    140,913/218,441 = 218,441/x
  3. Step 3: Cross multiply
    140,913x = 218,441 × 218,441
  4. Step 4: Simplify right side
    140,913x = 47,716,470,481
  5. Step 5: Solve for x
    x = 47,716,470,481/140,913
  6. Step 6: Final answer
    x = 338,623.62

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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.