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Finding the Third Proportional to 131,164 and 285,686

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Solution

The third proportional to 131,164 and 285,686 is: 622,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,164 : 285,686 = 285,686 : x
  2. Step 2: Convert to fraction form
    131,164/285,686 = 285,686/x
  3. Step 3: Cross multiply
    131,164x = 285,686 × 285,686
  4. Step 4: Simplify right side
    131,164x = 81,616,490,596
  5. Step 5: Solve for x
    x = 81,616,490,596/131,164
  6. Step 6: Final answer
    x = 622,247.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.