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Finding the Third Proportional to 607.13 and 823.31

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Solution

The third proportional to 607.13 and 823.31 is: 1,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.13 : 823.31 = 823.31 : x
  2. Step 2: Convert to fraction form
    607.13/823.31 = 823.31/x
  3. Step 3: Cross multiply
    607.13x = 823.31 × 823.31
  4. Step 4: Simplify right side
    607.13x = 677,843.47
  5. Step 5: Solve for x
    x = 677,843.47/607.13
  6. Step 6: Final answer
    x = 1,116.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.