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Finding the Third Proportional to 156.88 and 324.81

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Solution

The third proportional to 156.88 and 324.81 is: 672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.88 : 324.81 = 324.81 : x
  2. Step 2: Convert to fraction form
    156.88/324.81 = 324.81/x
  3. Step 3: Cross multiply
    156.88x = 324.81 × 324.81
  4. Step 4: Simplify right side
    156.88x = 105,503.16
  5. Step 5: Solve for x
    x = 105,503.16/156.88
  6. Step 6: Final answer
    x = 672.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.