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Finding the Third Proportional to 505.88 and 672.13

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Solution

The third proportional to 505.88 and 672.13 is: 893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 672.13 = 672.13 : x
  2. Step 2: Convert to fraction form
    505.88/672.13 = 672.13/x
  3. Step 3: Cross multiply
    505.88x = 672.13 × 672.13
  4. Step 4: Simplify right side
    505.88x = 451,752.02
  5. Step 5: Solve for x
    x = 451,752.02/505.88
  6. Step 6: Final answer
    x = 893.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.