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Finding the Third Proportional to 865.90 and 1,762.17

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Solution

The third proportional to 865.90 and 1,762.17 is: 3,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,762.17 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    865.90/1,762.17 = 1,762.17/x
  3. Step 3: Cross multiply
    865.90x = 1,762.17 × 1,762.17
  4. Step 4: Simplify right side
    865.90x = 3,105,249.72
  5. Step 5: Solve for x
    x = 3,105,249.72/865.90
  6. Step 6: Final answer
    x = 3,586.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.