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Finding the Third Proportional to 13,366.27 and 18,686.53

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Solution

The third proportional to 13,366.27 and 18,686.53 is: 26,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.27 : 18,686.53 = 18,686.53 : x
  2. Step 2: Convert to fraction form
    13,366.27/18,686.53 = 18,686.53/x
  3. Step 3: Cross multiply
    13,366.27x = 18,686.53 × 18,686.53
  4. Step 4: Simplify right side
    13,366.27x = 349,186,450.16
  5. Step 5: Solve for x
    x = 349,186,450.16/13,366.27
  6. Step 6: Final answer
    x = 26,124.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.