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Finding the Third Proportional to 102,521 and 220,370

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Solution

The third proportional to 102,521 and 220,370 is: 473,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521 : 220,370 = 220,370 : x
  2. Step 2: Convert to fraction form
    102,521/220,370 = 220,370/x
  3. Step 3: Cross multiply
    102,521x = 220,370 × 220,370
  4. Step 4: Simplify right side
    102,521x = 48,562,936,900
  5. Step 5: Solve for x
    x = 48,562,936,900/102,521
  6. Step 6: Final answer
    x = 473,687.70

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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.