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Finding the Third Proportional to 156.96 and 336.70

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Solution

The third proportional to 156.96 and 336.70 is: 722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 336.70 = 336.70 : x
  2. Step 2: Convert to fraction form
    156.96/336.70 = 336.70/x
  3. Step 3: Cross multiply
    156.96x = 336.70 × 336.70
  4. Step 4: Simplify right side
    156.96x = 113,368.99
  5. Step 5: Solve for x
    x = 113,368.99/156.96
  6. Step 6: Final answer
    x = 722.28

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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.