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Finding the Third Proportional to 43,786 and 90,686

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Solution

The third proportional to 43,786 and 90,686 is: 187,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786 : 90,686 = 90,686 : x
  2. Step 2: Convert to fraction form
    43,786/90,686 = 90,686/x
  3. Step 3: Cross multiply
    43,786x = 90,686 × 90,686
  4. Step 4: Simplify right side
    43,786x = 8,223,950,596
  5. Step 5: Solve for x
    x = 8,223,950,596/43,786
  6. Step 6: Final answer
    x = 187,821.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.