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Finding the Third Proportional to 218,397 and 329,134.50

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Solution

The third proportional to 218,397 and 329,134.50 is: 496,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,397 : 329,134.50 = 329,134.50 : x
  2. Step 2: Convert to fraction form
    218,397/329,134.50 = 329,134.50/x
  3. Step 3: Cross multiply
    218,397x = 329,134.50 × 329,134.50
  4. Step 4: Simplify right side
    218,397x = 108,329,519,090.25
  5. Step 5: Solve for x
    x = 108,329,519,090.25/218,397
  6. Step 6: Final answer
    x = 496,021.10

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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.