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Finding the Third Proportional to 284.13 and 628.80

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Solution

The third proportional to 284.13 and 628.80 is: 1,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 628.80 = 628.80 : x
  2. Step 2: Convert to fraction form
    284.13/628.80 = 628.80/x
  3. Step 3: Cross multiply
    284.13x = 628.80 × 628.80
  4. Step 4: Simplify right side
    284.13x = 395,395.34
  5. Step 5: Solve for x
    x = 395,395.34/284.13
  6. Step 6: Final answer
    x = 1,391.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.