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Finding the Third Proportional to 826.38 and 1,216.63

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Solution

The third proportional to 826.38 and 1,216.63 is: 1,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.38 : 1,216.63 = 1,216.63 : x
  2. Step 2: Convert to fraction form
    826.38/1,216.63 = 1,216.63/x
  3. Step 3: Cross multiply
    826.38x = 1,216.63 × 1,216.63
  4. Step 4: Simplify right side
    826.38x = 1,480,176.39
  5. Step 5: Solve for x
    x = 1,480,176.39/826.38
  6. Step 6: Final answer
    x = 1,791.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.