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Finding the Third Proportional to 776.25 and 1,182.09

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Solution

The third proportional to 776.25 and 1,182.09 is: 1,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,182.09 = 1,182.09 : x
  2. Step 2: Convert to fraction form
    776.25/1,182.09 = 1,182.09/x
  3. Step 3: Cross multiply
    776.25x = 1,182.09 × 1,182.09
  4. Step 4: Simplify right side
    776.25x = 1,397,345.63
  5. Step 5: Solve for x
    x = 1,397,345.63/776.25
  6. Step 6: Final answer
    x = 1,800.12

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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.