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Finding the Third Proportional to 221,332 and 318,174

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Solution

The third proportional to 221,332 and 318,174 is: 457,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,332 : 318,174 = 318,174 : x
  2. Step 2: Convert to fraction form
    221,332/318,174 = 318,174/x
  3. Step 3: Cross multiply
    221,332x = 318,174 × 318,174
  4. Step 4: Simplify right side
    221,332x = 101,234,694,276
  5. Step 5: Solve for x
    x = 101,234,694,276/221,332
  6. Step 6: Final answer
    x = 457,388.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.