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Finding the Third Proportional to 149,530.50 and 213,279.75

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Solution

The third proportional to 149,530.50 and 213,279.75 is: 304,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,530.50 : 213,279.75 = 213,279.75 : x
  2. Step 2: Convert to fraction form
    149,530.50/213,279.75 = 213,279.75/x
  3. Step 3: Cross multiply
    149,530.50x = 213,279.75 × 213,279.75
  4. Step 4: Simplify right side
    149,530.50x = 45,488,251,760.06
  5. Step 5: Solve for x
    x = 45,488,251,760.06/149,530.50
  6. Step 6: Final answer
    x = 304,207.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.