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Finding the Third Proportional to 218,864 and 328,294

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Solution

The third proportional to 218,864 and 328,294 is: 492,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864 : 328,294 = 328,294 : x
  2. Step 2: Convert to fraction form
    218,864/328,294 = 328,294/x
  3. Step 3: Cross multiply
    218,864x = 328,294 × 328,294
  4. Step 4: Simplify right side
    218,864x = 107,776,950,436
  5. Step 5: Solve for x
    x = 107,776,950,436/218,864
  6. Step 6: Final answer
    x = 492,438.00

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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.