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Finding the Third Proportional to 75.47 and 117.66

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Solution

The third proportional to 75.47 and 117.66 is: 183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 117.66 = 117.66 : x
  2. Step 2: Convert to fraction form
    75.47/117.66 = 117.66/x
  3. Step 3: Cross multiply
    75.47x = 117.66 × 117.66
  4. Step 4: Simplify right side
    75.47x = 13,842.99
  5. Step 5: Solve for x
    x = 13,842.99/75.47
  6. Step 6: Final answer
    x = 183.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.