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Finding the Third Proportional to 20,537.72 and 31,190.91

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Solution

The third proportional to 20,537.72 and 31,190.91 is: 47,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.72 : 31,190.91 = 31,190.91 : x
  2. Step 2: Convert to fraction form
    20,537.72/31,190.91 = 31,190.91/x
  3. Step 3: Cross multiply
    20,537.72x = 31,190.91 × 31,190.91
  4. Step 4: Simplify right side
    20,537.72x = 972,872,632.70
  5. Step 5: Solve for x
    x = 972,872,632.70/20,537.72
  6. Step 6: Final answer
    x = 47,370.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.