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Finding the Third Proportional to 373.13 and 823.13

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Solution

The third proportional to 373.13 and 823.13 is: 1,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.13 : 823.13 = 823.13 : x
  2. Step 2: Convert to fraction form
    373.13/823.13 = 823.13/x
  3. Step 3: Cross multiply
    373.13x = 823.13 × 823.13
  4. Step 4: Simplify right side
    373.13x = 677,534.77
  5. Step 5: Solve for x
    x = 677,534.77/373.13
  6. Step 6: Final answer
    x = 1,815.84

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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.