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Finding the Third Proportional to 218,281 and 328,233

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Solution

The third proportional to 218,281 and 328,233 is: 493,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,281 : 328,233 = 328,233 : x
  2. Step 2: Convert to fraction form
    218,281/328,233 = 328,233/x
  3. Step 3: Cross multiply
    218,281x = 328,233 × 328,233
  4. Step 4: Simplify right side
    218,281x = 107,736,902,289
  5. Step 5: Solve for x
    x = 107,736,902,289/218,281
  6. Step 6: Final answer
    x = 493,569.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.