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Finding the Third Proportional to 355.69 and 772.13

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Solution

The third proportional to 355.69 and 772.13 is: 1,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.69 : 772.13 = 772.13 : x
  2. Step 2: Convert to fraction form
    355.69/772.13 = 772.13/x
  3. Step 3: Cross multiply
    355.69x = 772.13 × 772.13
  4. Step 4: Simplify right side
    355.69x = 596,177.02
  5. Step 5: Solve for x
    x = 596,177.02/355.69
  6. Step 6: Final answer
    x = 1,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.