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Finding the Third Proportional to 541.58 and 823.77

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Solution

The third proportional to 541.58 and 823.77 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.58 : 823.77 = 823.77 : x
  2. Step 2: Convert to fraction form
    541.58/823.77 = 823.77/x
  3. Step 3: Cross multiply
    541.58x = 823.77 × 823.77
  4. Step 4: Simplify right side
    541.58x = 678,589.80
  5. Step 5: Solve for x
    x = 678,589.80/541.58
  6. Step 6: Final answer
    x = 1,252.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.