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Finding the Third Proportional to 405.74 and 865.48

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Solution

The third proportional to 405.74 and 865.48 is: 1,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 865.48 = 865.48 : x
  2. Step 2: Convert to fraction form
    405.74/865.48 = 865.48/x
  3. Step 3: Cross multiply
    405.74x = 865.48 × 865.48
  4. Step 4: Simplify right side
    405.74x = 749,049.68
  5. Step 5: Solve for x
    x = 749,049.68/405.74
  6. Step 6: Final answer
    x = 1,846.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.