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Finding the Third Proportional to 361,086 and 558,816

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Solution

The third proportional to 361,086 and 558,816 is: 864,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,086 : 558,816 = 558,816 : x
  2. Step 2: Convert to fraction form
    361,086/558,816 = 558,816/x
  3. Step 3: Cross multiply
    361,086x = 558,816 × 558,816
  4. Step 4: Simplify right side
    361,086x = 312,275,321,856
  5. Step 5: Solve for x
    x = 312,275,321,856/361,086
  6. Step 6: Final answer
    x = 864,822.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.