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Finding the Third Proportional to 86.88 and 203.13

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Solution

The third proportional to 86.88 and 203.13 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.88 : 203.13 = 203.13 : x
  2. Step 2: Convert to fraction form
    86.88/203.13 = 203.13/x
  3. Step 3: Cross multiply
    86.88x = 203.13 × 203.13
  4. Step 4: Simplify right side
    86.88x = 41,259.77
  5. Step 5: Solve for x
    x = 41,259.77/86.88
  6. Step 6: Final answer
    x = 474.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.