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Finding the Third Proportional to 147.52 and 323.53

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Solution

The third proportional to 147.52 and 323.53 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 323.53 = 323.53 : x
  2. Step 2: Convert to fraction form
    147.52/323.53 = 323.53/x
  3. Step 3: Cross multiply
    147.52x = 323.53 × 323.53
  4. Step 4: Simplify right side
    147.52x = 104,668.68
  5. Step 5: Solve for x
    x = 104,668.68/147.52
  6. Step 6: Final answer
    x = 709.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.