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Finding the Third Proportional to 221,282 and 318,099

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Solution

The third proportional to 221,282 and 318,099 is: 457,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,282 : 318,099 = 318,099 : x
  2. Step 2: Convert to fraction form
    221,282/318,099 = 318,099/x
  3. Step 3: Cross multiply
    221,282x = 318,099 × 318,099
  4. Step 4: Simplify right side
    221,282x = 101,186,973,801
  5. Step 5: Solve for x
    x = 101,186,973,801/221,282
  6. Step 6: Final answer
    x = 457,276.12

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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.