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Finding the Third Proportional to 138,607.50 and 304,279.50

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Solution

The third proportional to 138,607.50 and 304,279.50 is: 667,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607.50 : 304,279.50 = 304,279.50 : x
  2. Step 2: Convert to fraction form
    138,607.50/304,279.50 = 304,279.50/x
  3. Step 3: Cross multiply
    138,607.50x = 304,279.50 × 304,279.50
  4. Step 4: Simplify right side
    138,607.50x = 92,586,014,120.25
  5. Step 5: Solve for x
    x = 92,586,014,120.25/138,607.50
  6. Step 6: Final answer
    x = 667,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.