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Finding the Third Proportional to 49,103.72 and 100,275.47

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Solution

The third proportional to 49,103.72 and 100,275.47 is: 204,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,103.72 : 100,275.47 = 100,275.47 : x
  2. Step 2: Convert to fraction form
    49,103.72/100,275.47 = 100,275.47/x
  3. Step 3: Cross multiply
    49,103.72x = 100,275.47 × 100,275.47
  4. Step 4: Simplify right side
    49,103.72x = 10,055,169,633.03
  5. Step 5: Solve for x
    x = 10,055,169,633.03/49,103.72
  6. Step 6: Final answer
    x = 204,774.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.