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Finding the Third Proportional to 404.86 and 865.20

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Solution

The third proportional to 404.86 and 865.20 is: 1,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.86 : 865.20 = 865.20 : x
  2. Step 2: Convert to fraction form
    404.86/865.20 = 865.20/x
  3. Step 3: Cross multiply
    404.86x = 865.20 × 865.20
  4. Step 4: Simplify right side
    404.86x = 748,562.93
  5. Step 5: Solve for x
    x = 748,562.93/404.86
  6. Step 6: Final answer
    x = 1,848.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.