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Finding the Third Proportional to 156.81 and 229.81

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Solution

The third proportional to 156.81 and 229.81 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 229.81 = 229.81 : x
  2. Step 2: Convert to fraction form
    156.81/229.81 = 229.81/x
  3. Step 3: Cross multiply
    156.81x = 229.81 × 229.81
  4. Step 4: Simplify right side
    156.81x = 52,813.79
  5. Step 5: Solve for x
    x = 52,813.79/156.81
  6. Step 6: Final answer
    x = 336.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.