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Finding the Third Proportional to 493.13 and 910.31

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Solution

The third proportional to 493.13 and 910.31 is: 1,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.13 : 910.31 = 910.31 : x
  2. Step 2: Convert to fraction form
    493.13/910.31 = 910.31/x
  3. Step 3: Cross multiply
    493.13x = 910.31 × 910.31
  4. Step 4: Simplify right side
    493.13x = 828,668.85
  5. Step 5: Solve for x
    x = 828,668.85/493.13
  6. Step 6: Final answer
    x = 1,680.44

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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.