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Finding the Third Proportional to 291.94 and 626.34

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Solution

The third proportional to 291.94 and 626.34 is: 1,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 626.34 = 626.34 : x
  2. Step 2: Convert to fraction form
    291.94/626.34 = 626.34/x
  3. Step 3: Cross multiply
    291.94x = 626.34 × 626.34
  4. Step 4: Simplify right side
    291.94x = 392,306.49
  5. Step 5: Solve for x
    x = 392,306.49/291.94
  6. Step 6: Final answer
    x = 1,343.80

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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.