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Finding the Third Proportional to 113.50 and 174.53

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Solution

The third proportional to 113.50 and 174.53 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 174.53 = 174.53 : x
  2. Step 2: Convert to fraction form
    113.50/174.53 = 174.53/x
  3. Step 3: Cross multiply
    113.50x = 174.53 × 174.53
  4. Step 4: Simplify right side
    113.50x = 30,461.84
  5. Step 5: Solve for x
    x = 30,461.84/113.50
  6. Step 6: Final answer
    x = 268.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.