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Finding the Third Proportional to 152.25 and 328.84

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Solution

The third proportional to 152.25 and 328.84 is: 710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 328.84 = 328.84 : x
  2. Step 2: Convert to fraction form
    152.25/328.84 = 328.84/x
  3. Step 3: Cross multiply
    152.25x = 328.84 × 328.84
  4. Step 4: Simplify right side
    152.25x = 108,138.21
  5. Step 5: Solve for x
    x = 108,138.21/152.25
  6. Step 6: Final answer
    x = 710.27

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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.