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Finding the Third Proportional to 156.87 and 337.99

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Solution

The third proportional to 156.87 and 337.99 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.87 : 337.99 = 337.99 : x
  2. Step 2: Convert to fraction form
    156.87/337.99 = 337.99/x
  3. Step 3: Cross multiply
    156.87x = 337.99 × 337.99
  4. Step 4: Simplify right side
    156.87x = 114,238.72
  5. Step 5: Solve for x
    x = 114,238.72/156.87
  6. Step 6: Final answer
    x = 728.25

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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.