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Finding the Third Proportional to 20,503.13 and 31,301.44

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Solution

The third proportional to 20,503.13 and 31,301.44 is: 47,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.13 : 31,301.44 = 31,301.44 : x
  2. Step 2: Convert to fraction form
    20,503.13/31,301.44 = 31,301.44/x
  3. Step 3: Cross multiply
    20,503.13x = 31,301.44 × 31,301.44
  4. Step 4: Simplify right side
    20,503.13x = 979,779,989.57
  5. Step 5: Solve for x
    x = 979,779,989.57/20,503.13
  6. Step 6: Final answer
    x = 47,786.86

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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.