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Finding the Third Proportional to 138,234.50 and 185,757.50

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Solution

The third proportional to 138,234.50 and 185,757.50 is: 249,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234.50 : 185,757.50 = 185,757.50 : x
  2. Step 2: Convert to fraction form
    138,234.50/185,757.50 = 185,757.50/x
  3. Step 3: Cross multiply
    138,234.50x = 185,757.50 × 185,757.50
  4. Step 4: Simplify right side
    138,234.50x = 34,505,848,806.25
  5. Step 5: Solve for x
    x = 34,505,848,806.25/138,234.50
  6. Step 6: Final answer
    x = 249,618.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.