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Finding the Third Proportional to 9,695.50 and 20,111

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Solution

The third proportional to 9,695.50 and 20,111 is: 41,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.50 : 20,111 = 20,111 : x
  2. Step 2: Convert to fraction form
    9,695.50/20,111 = 20,111/x
  3. Step 3: Cross multiply
    9,695.50x = 20,111 × 20,111
  4. Step 4: Simplify right side
    9,695.50x = 404,452,321
  5. Step 5: Solve for x
    x = 404,452,321/9,695.50
  6. Step 6: Final answer
    x = 41,715.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.