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Finding the Third Proportional to 102,716 and 220,762

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Solution

The third proportional to 102,716 and 220,762 is: 474,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716 : 220,762 = 220,762 : x
  2. Step 2: Convert to fraction form
    102,716/220,762 = 220,762/x
  3. Step 3: Cross multiply
    102,716x = 220,762 × 220,762
  4. Step 4: Simplify right side
    102,716x = 48,735,860,644
  5. Step 5: Solve for x
    x = 48,735,860,644/102,716
  6. Step 6: Final answer
    x = 474,471.95

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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.