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Finding the Third Proportional to 13,089.38 and 18,702.56

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Solution

The third proportional to 13,089.38 and 18,702.56 is: 26,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.38 : 18,702.56 = 18,702.56 : x
  2. Step 2: Convert to fraction form
    13,089.38/18,702.56 = 18,702.56/x
  3. Step 3: Cross multiply
    13,089.38x = 18,702.56 × 18,702.56
  4. Step 4: Simplify right side
    13,089.38x = 349,785,844.07
  5. Step 5: Solve for x
    x = 349,785,844.07/13,089.38
  6. Step 6: Final answer
    x = 26,722.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.