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Finding the Third Proportional to 772.25 and 1,227.87

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Solution

The third proportional to 772.25 and 1,227.87 is: 1,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.25 : 1,227.87 = 1,227.87 : x
  2. Step 2: Convert to fraction form
    772.25/1,227.87 = 1,227.87/x
  3. Step 3: Cross multiply
    772.25x = 1,227.87 × 1,227.87
  4. Step 4: Simplify right side
    772.25x = 1,507,674.02
  5. Step 5: Solve for x
    x = 1,507,674.02/772.25
  6. Step 6: Final answer
    x = 1,952.32

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Why These Related Problems?

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