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Finding the Third Proportional to 20,123.44 and 30,390.19

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Solution

The third proportional to 20,123.44 and 30,390.19 is: 45,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.44 : 30,390.19 = 30,390.19 : x
  2. Step 2: Convert to fraction form
    20,123.44/30,390.19 = 30,390.19/x
  3. Step 3: Cross multiply
    20,123.44x = 30,390.19 × 30,390.19
  4. Step 4: Simplify right side
    20,123.44x = 923,563,496.29
  5. Step 5: Solve for x
    x = 923,563,496.29/20,123.44
  6. Step 6: Final answer
    x = 45,894.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.