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Finding the Third Proportional to 9,891 and 14,298.75

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Solution

The third proportional to 9,891 and 14,298.75 is: 20,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 14,298.75 = 14,298.75 : x
  2. Step 2: Convert to fraction form
    9,891/14,298.75 = 14,298.75/x
  3. Step 3: Cross multiply
    9,891x = 14,298.75 × 14,298.75
  4. Step 4: Simplify right side
    9,891x = 204,454,251.56
  5. Step 5: Solve for x
    x = 204,454,251.56/9,891
  6. Step 6: Final answer
    x = 20,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.