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Finding the Third Proportional to 4,110.38 and 8,913.75

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Solution

The third proportional to 4,110.38 and 8,913.75 is: 19,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.38 : 8,913.75 = 8,913.75 : x
  2. Step 2: Convert to fraction form
    4,110.38/8,913.75 = 8,913.75/x
  3. Step 3: Cross multiply
    4,110.38x = 8,913.75 × 8,913.75
  4. Step 4: Simplify right side
    4,110.38x = 79,454,939.06
  5. Step 5: Solve for x
    x = 79,454,939.06/4,110.38
  6. Step 6: Final answer
    x = 19,330.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.