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Finding the Third Proportional to 218,042 and 328,143

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Solution

The third proportional to 218,042 and 328,143 is: 493,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,042 : 328,143 = 328,143 : x
  2. Step 2: Convert to fraction form
    218,042/328,143 = 328,143/x
  3. Step 3: Cross multiply
    218,042x = 328,143 × 328,143
  4. Step 4: Simplify right side
    218,042x = 107,677,828,449
  5. Step 5: Solve for x
    x = 107,677,828,449/218,042
  6. Step 6: Final answer
    x = 493,839.85

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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.