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Finding the Third Proportional to 8,623.13 and 13,182.75

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Solution

The third proportional to 8,623.13 and 13,182.75 is: 20,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.13 : 13,182.75 = 13,182.75 : x
  2. Step 2: Convert to fraction form
    8,623.13/13,182.75 = 13,182.75/x
  3. Step 3: Cross multiply
    8,623.13x = 13,182.75 × 13,182.75
  4. Step 4: Simplify right side
    8,623.13x = 173,784,897.56
  5. Step 5: Solve for x
    x = 173,784,897.56/8,623.13
  6. Step 6: Final answer
    x = 20,153.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.