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Finding the Third Proportional to 156.25 and 328.75

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Solution

The third proportional to 156.25 and 328.75 is: 691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 328.75 = 328.75 : x
  2. Step 2: Convert to fraction form
    156.25/328.75 = 328.75/x
  3. Step 3: Cross multiply
    156.25x = 328.75 × 328.75
  4. Step 4: Simplify right side
    156.25x = 108,076.56
  5. Step 5: Solve for x
    x = 108,076.56/156.25
  6. Step 6: Final answer
    x = 691.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.