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Finding the Third Proportional to 85,864 and 186,983

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Solution

The third proportional to 85,864 and 186,983 is: 407,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864 : 186,983 = 186,983 : x
  2. Step 2: Convert to fraction form
    85,864/186,983 = 186,983/x
  3. Step 3: Cross multiply
    85,864x = 186,983 × 186,983
  4. Step 4: Simplify right side
    85,864x = 34,962,642,289
  5. Step 5: Solve for x
    x = 34,962,642,289/85,864
  6. Step 6: Final answer
    x = 407,186.27

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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.