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Finding the Third Proportional to 218,434 and 328,371

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Solution

The third proportional to 218,434 and 328,371 is: 493,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,434 : 328,371 = 328,371 : x
  2. Step 2: Convert to fraction form
    218,434/328,371 = 328,371/x
  3. Step 3: Cross multiply
    218,434x = 328,371 × 328,371
  4. Step 4: Simplify right side
    218,434x = 107,827,513,641
  5. Step 5: Solve for x
    x = 107,827,513,641/218,434
  6. Step 6: Final answer
    x = 493,638.87

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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.