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Finding the Third Proportional to 148.59 and 324.19

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Solution

The third proportional to 148.59 and 324.19 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.59 : 324.19 = 324.19 : x
  2. Step 2: Convert to fraction form
    148.59/324.19 = 324.19/x
  3. Step 3: Cross multiply
    148.59x = 324.19 × 324.19
  4. Step 4: Simplify right side
    148.59x = 105,097.54
  5. Step 5: Solve for x
    x = 105,097.54/148.59
  6. Step 6: Final answer
    x = 707.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.