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Finding the Third Proportional to 20,312.50 and 30,469

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Solution

The third proportional to 20,312.50 and 30,469 is: 45,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.50 : 30,469 = 30,469 : x
  2. Step 2: Convert to fraction form
    20,312.50/30,469 = 30,469/x
  3. Step 3: Cross multiply
    20,312.50x = 30,469 × 30,469
  4. Step 4: Simplify right side
    20,312.50x = 928,359,961
  5. Step 5: Solve for x
    x = 928,359,961/20,312.50
  6. Step 6: Final answer
    x = 45,703.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.