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Finding the Third Proportional to 140,946 and 218,385

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Solution

The third proportional to 140,946 and 218,385 is: 338,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,946 : 218,385 = 218,385 : x
  2. Step 2: Convert to fraction form
    140,946/218,385 = 218,385/x
  3. Step 3: Cross multiply
    140,946x = 218,385 × 218,385
  4. Step 4: Simplify right side
    140,946x = 47,692,008,225
  5. Step 5: Solve for x
    x = 47,692,008,225/140,946
  6. Step 6: Final answer
    x = 338,370.78

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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.