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Finding the Third Proportional to 606.50 and 914.88

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Solution

The third proportional to 606.50 and 914.88 is: 1,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.50 : 914.88 = 914.88 : x
  2. Step 2: Convert to fraction form
    606.50/914.88 = 914.88/x
  3. Step 3: Cross multiply
    606.50x = 914.88 × 914.88
  4. Step 4: Simplify right side
    606.50x = 836,996.27
  5. Step 5: Solve for x
    x = 836,996.27/606.50
  6. Step 6: Final answer
    x = 1,380.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.