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Finding the Third Proportional to 218,438 and 329,664

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Solution

The third proportional to 218,438 and 329,664 is: 497,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,438 : 329,664 = 329,664 : x
  2. Step 2: Convert to fraction form
    218,438/329,664 = 329,664/x
  3. Step 3: Cross multiply
    218,438x = 329,664 × 329,664
  4. Step 4: Simplify right side
    218,438x = 108,678,352,896
  5. Step 5: Solve for x
    x = 108,678,352,896/218,438
  6. Step 6: Final answer
    x = 497,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.