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Finding the Third Proportional to 8,191.79 and 17,916.79

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Solution

The third proportional to 8,191.79 and 17,916.79 is: 39,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.79 : 17,916.79 = 17,916.79 : x
  2. Step 2: Convert to fraction form
    8,191.79/17,916.79 = 17,916.79/x
  3. Step 3: Cross multiply
    8,191.79x = 17,916.79 × 17,916.79
  4. Step 4: Simplify right side
    8,191.79x = 321,011,190.34
  5. Step 5: Solve for x
    x = 321,011,190.34/8,191.79
  6. Step 6: Final answer
    x = 39,186.93

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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.