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Finding the Third Proportional to 138,455.50 and 207,452.75

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Solution

The third proportional to 138,455.50 and 207,452.75 is: 310,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,455.50 : 207,452.75 = 207,452.75 : x
  2. Step 2: Convert to fraction form
    138,455.50/207,452.75 = 207,452.75/x
  3. Step 3: Cross multiply
    138,455.50x = 207,452.75 × 207,452.75
  4. Step 4: Simplify right side
    138,455.50x = 43,036,643,482.56
  5. Step 5: Solve for x
    x = 43,036,643,482.56/138,455.50
  6. Step 6: Final answer
    x = 310,833.76

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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.