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Finding the Third Proportional to 473.13 and 991.83

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Solution

The third proportional to 473.13 and 991.83 is: 2,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 991.83 = 991.83 : x
  2. Step 2: Convert to fraction form
    473.13/991.83 = 991.83/x
  3. Step 3: Cross multiply
    473.13x = 991.83 × 991.83
  4. Step 4: Simplify right side
    473.13x = 983,723.03
  5. Step 5: Solve for x
    x = 983,723.03/473.13
  6. Step 6: Final answer
    x = 2,079.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.