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Finding the Third Proportional to 138,556.04 and 208,449.15

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Solution

The third proportional to 138,556.04 and 208,449.15 is: 313,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,556.04 : 208,449.15 = 208,449.15 : x
  2. Step 2: Convert to fraction form
    138,556.04/208,449.15 = 208,449.15/x
  3. Step 3: Cross multiply
    138,556.04x = 208,449.15 × 208,449.15
  4. Step 4: Simplify right side
    138,556.04x = 43,451,047,891.45
  5. Step 5: Solve for x
    x = 43,451,047,891.45/138,556.04
  6. Step 6: Final answer
    x = 313,599.10

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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.