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Finding the Third Proportional to 13,712.10 and 20,478.45

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Solution

The third proportional to 13,712.10 and 20,478.45 is: 30,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.10 : 20,478.45 = 20,478.45 : x
  2. Step 2: Convert to fraction form
    13,712.10/20,478.45 = 20,478.45/x
  3. Step 3: Cross multiply
    13,712.10x = 20,478.45 × 20,478.45
  4. Step 4: Simplify right side
    13,712.10x = 419,366,722.42
  5. Step 5: Solve for x
    x = 419,366,722.42/13,712.10
  6. Step 6: Final answer
    x = 30,583.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.