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Finding the Third Proportional to 75,451.50 and 138,145.50

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Solution

The third proportional to 75,451.50 and 138,145.50 is: 252,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 138,145.50 = 138,145.50 : x
  2. Step 2: Convert to fraction form
    75,451.50/138,145.50 = 138,145.50/x
  3. Step 3: Cross multiply
    75,451.50x = 138,145.50 × 138,145.50
  4. Step 4: Simplify right side
    75,451.50x = 19,084,179,170.25
  5. Step 5: Solve for x
    x = 19,084,179,170.25/75,451.50
  6. Step 6: Final answer
    x = 252,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.