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Finding the Third Proportional to 865.37 and 1,297.79

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Solution

The third proportional to 865.37 and 1,297.79 is: 1,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,297.79 = 1,297.79 : x
  2. Step 2: Convert to fraction form
    865.37/1,297.79 = 1,297.79/x
  3. Step 3: Cross multiply
    865.37x = 1,297.79 × 1,297.79
  4. Step 4: Simplify right side
    865.37x = 1,684,266.59
  5. Step 5: Solve for x
    x = 1,684,266.59/865.37
  6. Step 6: Final answer
    x = 1,946.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.