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Finding the Third Proportional to 437.91 and 697.99

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Solution

The third proportional to 437.91 and 697.99 is: 1,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 697.99 = 697.99 : x
  2. Step 2: Convert to fraction form
    437.91/697.99 = 697.99/x
  3. Step 3: Cross multiply
    437.91x = 697.99 × 697.99
  4. Step 4: Simplify right side
    437.91x = 487,193.09
  5. Step 5: Solve for x
    x = 487,193.09/437.91
  6. Step 6: Final answer
    x = 1,112.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.