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Finding the Third Proportional to 281,173.50 and 435,498.75

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Solution

The third proportional to 281,173.50 and 435,498.75 is: 674,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,173.50 : 435,498.75 = 435,498.75 : x
  2. Step 2: Convert to fraction form
    281,173.50/435,498.75 = 435,498.75/x
  3. Step 3: Cross multiply
    281,173.50x = 435,498.75 × 435,498.75
  4. Step 4: Simplify right side
    281,173.50x = 189,659,161,251.56
  5. Step 5: Solve for x
    x = 189,659,161,251.56/281,173.50
  6. Step 6: Final answer
    x = 674,527.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.