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Finding the Third Proportional to 153.24 and 331.04

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Solution

The third proportional to 153.24 and 331.04 is: 715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.24 : 331.04 = 331.04 : x
  2. Step 2: Convert to fraction form
    153.24/331.04 = 331.04/x
  3. Step 3: Cross multiply
    153.24x = 331.04 × 331.04
  4. Step 4: Simplify right side
    153.24x = 109,587.51
  5. Step 5: Solve for x
    x = 109,587.51/153.24
  6. Step 6: Final answer
    x = 715.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.