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Finding the Third Proportional to 109,491.75 and 207,534.38

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Solution

The third proportional to 109,491.75 and 207,534.38 is: 393,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.75 : 207,534.38 = 207,534.38 : x
  2. Step 2: Convert to fraction form
    109,491.75/207,534.38 = 207,534.38/x
  3. Step 3: Cross multiply
    109,491.75x = 207,534.38 × 207,534.38
  4. Step 4: Simplify right side
    109,491.75x = 43,070,516,806.64
  5. Step 5: Solve for x
    x = 43,070,516,806.64/109,491.75
  6. Step 6: Final answer
    x = 393,367.69

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.