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Finding the Third Proportional to 115.47 and 164.94

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Solution

The third proportional to 115.47 and 164.94 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 164.94 = 164.94 : x
  2. Step 2: Convert to fraction form
    115.47/164.94 = 164.94/x
  3. Step 3: Cross multiply
    115.47x = 164.94 × 164.94
  4. Step 4: Simplify right side
    115.47x = 27,204.38
  5. Step 5: Solve for x
    x = 27,204.38/115.47
  6. Step 6: Final answer
    x = 235.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.