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Finding the Third Proportional to 20,140.50 and 30,909

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Solution

The third proportional to 20,140.50 and 30,909 is: 47,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.50 : 30,909 = 30,909 : x
  2. Step 2: Convert to fraction form
    20,140.50/30,909 = 30,909/x
  3. Step 3: Cross multiply
    20,140.50x = 30,909 × 30,909
  4. Step 4: Simplify right side
    20,140.50x = 955,366,281
  5. Step 5: Solve for x
    x = 955,366,281/20,140.50
  6. Step 6: Final answer
    x = 47,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.