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Finding the Third Proportional to 8,151.19 and 17,865

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Solution

The third proportional to 8,151.19 and 17,865 is: 39,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.19 : 17,865 = 17,865 : x
  2. Step 2: Convert to fraction form
    8,151.19/17,865 = 17,865/x
  3. Step 3: Cross multiply
    8,151.19x = 17,865 × 17,865
  4. Step 4: Simplify right side
    8,151.19x = 319,158,225
  5. Step 5: Solve for x
    x = 319,158,225/8,151.19
  6. Step 6: Final answer
    x = 39,154.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.