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Finding the Third Proportional to 628.31 and 816.28

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Solution

The third proportional to 628.31 and 816.28 is: 1,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 816.28 = 816.28 : x
  2. Step 2: Convert to fraction form
    628.31/816.28 = 816.28/x
  3. Step 3: Cross multiply
    628.31x = 816.28 × 816.28
  4. Step 4: Simplify right side
    628.31x = 666,315.08
  5. Step 5: Solve for x
    x = 666,315.08/628.31
  6. Step 6: Final answer
    x = 1,060.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.