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Finding the Third Proportional to 4,117.71 and 8,782.17

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Solution

The third proportional to 4,117.71 and 8,782.17 is: 18,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.71 : 8,782.17 = 8,782.17 : x
  2. Step 2: Convert to fraction form
    4,117.71/8,782.17 = 8,782.17/x
  3. Step 3: Cross multiply
    4,117.71x = 8,782.17 × 8,782.17
  4. Step 4: Simplify right side
    4,117.71x = 77,126,542.84
  5. Step 5: Solve for x
    x = 77,126,542.84/4,117.71
  6. Step 6: Final answer
    x = 18,730.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.