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Finding the Third Proportional to 218,398 and 329,136

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Solution

The third proportional to 218,398 and 329,136 is: 496,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,398 : 329,136 = 329,136 : x
  2. Step 2: Convert to fraction form
    218,398/329,136 = 329,136/x
  3. Step 3: Cross multiply
    218,398x = 329,136 × 329,136
  4. Step 4: Simplify right side
    218,398x = 108,330,506,496
  5. Step 5: Solve for x
    x = 108,330,506,496/218,398
  6. Step 6: Final answer
    x = 496,023.34

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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.