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Finding the Third Proportional to 75.42 and 113.95

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Solution

The third proportional to 75.42 and 113.95 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 113.95 = 113.95 : x
  2. Step 2: Convert to fraction form
    75.42/113.95 = 113.95/x
  3. Step 3: Cross multiply
    75.42x = 113.95 × 113.95
  4. Step 4: Simplify right side
    75.42x = 12,985.31
  5. Step 5: Solve for x
    x = 12,985.31/75.42
  6. Step 6: Final answer
    x = 172.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.