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Finding the Third Proportional to 218,301.75 and 331,141.50

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Solution

The third proportional to 218,301.75 and 331,141.50 is: 502,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,301.75 : 331,141.50 = 331,141.50 : x
  2. Step 2: Convert to fraction form
    218,301.75/331,141.50 = 331,141.50/x
  3. Step 3: Cross multiply
    218,301.75x = 331,141.50 × 331,141.50
  4. Step 4: Simplify right side
    218,301.75x = 109,654,693,022.25
  5. Step 5: Solve for x
    x = 109,654,693,022.25/218,301.75
  6. Step 6: Final answer
    x = 502,307.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.