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Finding the Third Proportional to 8,959.78 and 18,986.91

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Solution

The third proportional to 8,959.78 and 18,986.91 is: 40,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.78 : 18,986.91 = 18,986.91 : x
  2. Step 2: Convert to fraction form
    8,959.78/18,986.91 = 18,986.91/x
  3. Step 3: Cross multiply
    8,959.78x = 18,986.91 × 18,986.91
  4. Step 4: Simplify right side
    8,959.78x = 360,502,608.95
  5. Step 5: Solve for x
    x = 360,502,608.95/8,959.78
  6. Step 6: Final answer
    x = 40,235.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.