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Finding the Third Proportional to 48,512.53 and 106,042.78

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Solution

The third proportional to 48,512.53 and 106,042.78 is: 231,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512.53 : 106,042.78 = 106,042.78 : x
  2. Step 2: Convert to fraction form
    48,512.53/106,042.78 = 106,042.78/x
  3. Step 3: Cross multiply
    48,512.53x = 106,042.78 × 106,042.78
  4. Step 4: Simplify right side
    48,512.53x = 11,245,071,455.24
  5. Step 5: Solve for x
    x = 11,245,071,455.24/48,512.53
  6. Step 6: Final answer
    x = 231,797.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.