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Finding the Third Proportional to 75,784.04 and 126,300.20

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Solution

The third proportional to 75,784.04 and 126,300.20 is: 210,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784.04 : 126,300.20 = 126,300.20 : x
  2. Step 2: Convert to fraction form
    75,784.04/126,300.20 = 126,300.20/x
  3. Step 3: Cross multiply
    75,784.04x = 126,300.20 × 126,300.20
  4. Step 4: Simplify right side
    75,784.04x = 15,951,740,322.70
  5. Step 5: Solve for x
    x = 15,951,740,322.70/75,784.04
  6. Step 6: Final answer
    x = 210,489.43

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.