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Finding the Third Proportional to 12,402.49 and 18,717.64

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Solution

The third proportional to 12,402.49 and 18,717.64 is: 28,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.49 : 18,717.64 = 18,717.64 : x
  2. Step 2: Convert to fraction form
    12,402.49/18,717.64 = 18,717.64/x
  3. Step 3: Cross multiply
    12,402.49x = 18,717.64 × 18,717.64
  4. Step 4: Simplify right side
    12,402.49x = 350,350,216.80
  5. Step 5: Solve for x
    x = 350,350,216.80/12,402.49
  6. Step 6: Final answer
    x = 28,248.37

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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.