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Finding the Third Proportional to 147.47 and 324.28

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Solution

The third proportional to 147.47 and 324.28 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 324.28 = 324.28 : x
  2. Step 2: Convert to fraction form
    147.47/324.28 = 324.28/x
  3. Step 3: Cross multiply
    147.47x = 324.28 × 324.28
  4. Step 4: Simplify right side
    147.47x = 105,158.33
  5. Step 5: Solve for x
    x = 105,158.33/147.47
  6. Step 6: Final answer
    x = 713.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.