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Finding the Third Proportional to 49,156.88 and 104,748.19

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Solution

The third proportional to 49,156.88 and 104,748.19 is: 223,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156.88 : 104,748.19 = 104,748.19 : x
  2. Step 2: Convert to fraction form
    49,156.88/104,748.19 = 104,748.19/x
  3. Step 3: Cross multiply
    49,156.88x = 104,748.19 × 104,748.19
  4. Step 4: Simplify right side
    49,156.88x = 10,972,182,784.54
  5. Step 5: Solve for x
    x = 10,972,182,784.54/49,156.88
  6. Step 6: Final answer
    x = 223,207.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.