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Finding the Third Proportional to 4,156.78 and 9,121.97

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Solution

The third proportional to 4,156.78 and 9,121.97 is: 20,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.78 : 9,121.97 = 9,121.97 : x
  2. Step 2: Convert to fraction form
    4,156.78/9,121.97 = 9,121.97/x
  3. Step 3: Cross multiply
    4,156.78x = 9,121.97 × 9,121.97
  4. Step 4: Simplify right side
    4,156.78x = 83,210,313.88
  5. Step 5: Solve for x
    x = 83,210,313.88/4,156.78
  6. Step 6: Final answer
    x = 20,017.97

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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.