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Finding the Third Proportional to 11,324 and 18,715.75

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Solution

The third proportional to 11,324 and 18,715.75 is: 30,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324 : 18,715.75 = 18,715.75 : x
  2. Step 2: Convert to fraction form
    11,324/18,715.75 = 18,715.75/x
  3. Step 3: Cross multiply
    11,324x = 18,715.75 × 18,715.75
  4. Step 4: Simplify right side
    11,324x = 350,279,298.06
  5. Step 5: Solve for x
    x = 350,279,298.06/11,324
  6. Step 6: Final answer
    x = 30,932.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.