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Finding the Third Proportional to 138,982.50 and 207,846

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Solution

The third proportional to 138,982.50 and 207,846 is: 310,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,982.50 : 207,846 = 207,846 : x
  2. Step 2: Convert to fraction form
    138,982.50/207,846 = 207,846/x
  3. Step 3: Cross multiply
    138,982.50x = 207,846 × 207,846
  4. Step 4: Simplify right side
    138,982.50x = 43,199,959,716
  5. Step 5: Solve for x
    x = 43,199,959,716/138,982.50
  6. Step 6: Final answer
    x = 310,830.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.