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Finding the Third Proportional to 328.13 and 706.88

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Solution

The third proportional to 328.13 and 706.88 is: 1,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 706.88 = 706.88 : x
  2. Step 2: Convert to fraction form
    328.13/706.88 = 706.88/x
  3. Step 3: Cross multiply
    328.13x = 706.88 × 706.88
  4. Step 4: Simplify right side
    328.13x = 499,672.27
  5. Step 5: Solve for x
    x = 499,672.27/328.13
  6. Step 6: Final answer
    x = 1,522.81

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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.