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Finding the Third Proportional to 491.91 and 909.84

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Solution

The third proportional to 491.91 and 909.84 is: 1,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.91 : 909.84 = 909.84 : x
  2. Step 2: Convert to fraction form
    491.91/909.84 = 909.84/x
  3. Step 3: Cross multiply
    491.91x = 909.84 × 909.84
  4. Step 4: Simplify right side
    491.91x = 827,815.65
  5. Step 5: Solve for x
    x = 827,815.65/491.91
  6. Step 6: Final answer
    x = 1,682.87

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.