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Finding the Third Proportional to 131,160 and 285,678

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Solution

The third proportional to 131,160 and 285,678 is: 622,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,160 : 285,678 = 285,678 : x
  2. Step 2: Convert to fraction form
    131,160/285,678 = 285,678/x
  3. Step 3: Cross multiply
    131,160x = 285,678 × 285,678
  4. Step 4: Simplify right side
    131,160x = 81,611,919,684
  5. Step 5: Solve for x
    x = 81,611,919,684/131,160
  6. Step 6: Final answer
    x = 622,231.78

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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.