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Finding the Third Proportional to 102,279 and 218,774

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Solution

The third proportional to 102,279 and 218,774 is: 467,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,279 : 218,774 = 218,774 : x
  2. Step 2: Convert to fraction form
    102,279/218,774 = 218,774/x
  3. Step 3: Cross multiply
    102,279x = 218,774 × 218,774
  4. Step 4: Simplify right side
    102,279x = 47,862,063,076
  5. Step 5: Solve for x
    x = 47,862,063,076/102,279
  6. Step 6: Final answer
    x = 467,955.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.