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Finding the Third Proportional to 725.63 and 797.63

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Solution

The third proportional to 725.63 and 797.63 is: 876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.63 : 797.63 = 797.63 : x
  2. Step 2: Convert to fraction form
    725.63/797.63 = 797.63/x
  3. Step 3: Cross multiply
    725.63x = 797.63 × 797.63
  4. Step 4: Simplify right side
    725.63x = 636,205.64
  5. Step 5: Solve for x
    x = 636,205.64/725.63
  6. Step 6: Final answer
    x = 876.77

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.