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Finding the Third Proportional to 102,514 and 220,356

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Solution

The third proportional to 102,514 and 220,356 is: 473,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514 : 220,356 = 220,356 : x
  2. Step 2: Convert to fraction form
    102,514/220,356 = 220,356/x
  3. Step 3: Cross multiply
    102,514x = 220,356 × 220,356
  4. Step 4: Simplify right side
    102,514x = 48,556,766,736
  5. Step 5: Solve for x
    x = 48,556,766,736/102,514
  6. Step 6: Final answer
    x = 473,659.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.