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Finding the Third Proportional to 8,178.47 and 17,911.13

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Solution

The third proportional to 8,178.47 and 17,911.13 is: 39,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.47 : 17,911.13 = 17,911.13 : x
  2. Step 2: Convert to fraction form
    8,178.47/17,911.13 = 17,911.13/x
  3. Step 3: Cross multiply
    8,178.47x = 17,911.13 × 17,911.13
  4. Step 4: Simplify right side
    8,178.47x = 320,808,398.77
  5. Step 5: Solve for x
    x = 320,808,398.77/8,178.47
  6. Step 6: Final answer
    x = 39,225.97

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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.