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Finding the Third Proportional to 153.13 and 329.13

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Solution

The third proportional to 153.13 and 329.13 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.13 : 329.13 = 329.13 : x
  2. Step 2: Convert to fraction form
    153.13/329.13 = 329.13/x
  3. Step 3: Cross multiply
    153.13x = 329.13 × 329.13
  4. Step 4: Simplify right side
    153.13x = 108,323.27
  5. Step 5: Solve for x
    x = 108,323.27/153.13
  6. Step 6: Final answer
    x = 707.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.