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Finding the Third Proportional to 388.76 and 827.51

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Solution

The third proportional to 388.76 and 827.51 is: 1,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.76 : 827.51 = 827.51 : x
  2. Step 2: Convert to fraction form
    388.76/827.51 = 827.51/x
  3. Step 3: Cross multiply
    388.76x = 827.51 × 827.51
  4. Step 4: Simplify right side
    388.76x = 684,769.18
  5. Step 5: Solve for x
    x = 684,769.18/388.76
  6. Step 6: Final answer
    x = 1,761.43

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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.