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Finding the Third Proportional to 14,123.50 and 20,753

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Solution

The third proportional to 14,123.50 and 20,753 is: 30,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.50 : 20,753 = 20,753 : x
  2. Step 2: Convert to fraction form
    14,123.50/20,753 = 20,753/x
  3. Step 3: Cross multiply
    14,123.50x = 20,753 × 20,753
  4. Step 4: Simplify right side
    14,123.50x = 430,687,009
  5. Step 5: Solve for x
    x = 430,687,009/14,123.50
  6. Step 6: Final answer
    x = 30,494.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.