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Finding the Third Proportional to 215,755 and 469,156

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Solution

The third proportional to 215,755 and 469,156 is: 1,020,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,755 : 469,156 = 469,156 : x
  2. Step 2: Convert to fraction form
    215,755/469,156 = 469,156/x
  3. Step 3: Cross multiply
    215,755x = 469,156 × 469,156
  4. Step 4: Simplify right side
    215,755x = 220,107,352,336
  5. Step 5: Solve for x
    x = 220,107,352,336/215,755
  6. Step 6: Final answer
    x = 1,020,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.