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Finding the Third Proportional to 782.38 and 1,218.44

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Solution

The third proportional to 782.38 and 1,218.44 is: 1,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,218.44 = 1,218.44 : x
  2. Step 2: Convert to fraction form
    782.38/1,218.44 = 1,218.44/x
  3. Step 3: Cross multiply
    782.38x = 1,218.44 × 1,218.44
  4. Step 4: Simplify right side
    782.38x = 1,484,589.94
  5. Step 5: Solve for x
    x = 1,484,589.94/782.38
  6. Step 6: Final answer
    x = 1,897.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.