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Finding the Third Proportional to 207.72 and 325.90

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Solution

The third proportional to 207.72 and 325.90 is: 511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 325.90 = 325.90 : x
  2. Step 2: Convert to fraction form
    207.72/325.90 = 325.90/x
  3. Step 3: Cross multiply
    207.72x = 325.90 × 325.90
  4. Step 4: Simplify right side
    207.72x = 106,209.79
  5. Step 5: Solve for x
    x = 106,209.79/207.72
  6. Step 6: Final answer
    x = 511.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.