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Finding the Third Proportional to 20,170.50 and 28,207.50

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Solution

The third proportional to 20,170.50 and 28,207.50 is: 39,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.50 : 28,207.50 = 28,207.50 : x
  2. Step 2: Convert to fraction form
    20,170.50/28,207.50 = 28,207.50/x
  3. Step 3: Cross multiply
    20,170.50x = 28,207.50 × 28,207.50
  4. Step 4: Simplify right side
    20,170.50x = 795,663,056.25
  5. Step 5: Solve for x
    x = 795,663,056.25/20,170.50
  6. Step 6: Final answer
    x = 39,446.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.