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Finding the Third Proportional to 409.78 and 626.91

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Solution

The third proportional to 409.78 and 626.91 is: 959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 626.91 = 626.91 : x
  2. Step 2: Convert to fraction form
    409.78/626.91 = 626.91/x
  3. Step 3: Cross multiply
    409.78x = 626.91 × 626.91
  4. Step 4: Simplify right side
    409.78x = 393,011.45
  5. Step 5: Solve for x
    x = 393,011.45/409.78
  6. Step 6: Final answer
    x = 959.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.