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Finding the Third Proportional to 86,518 and 185,974

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Solution

The third proportional to 86,518 and 185,974 is: 399,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,518 : 185,974 = 185,974 : x
  2. Step 2: Convert to fraction form
    86,518/185,974 = 185,974/x
  3. Step 3: Cross multiply
    86,518x = 185,974 × 185,974
  4. Step 4: Simplify right side
    86,518x = 34,586,328,676
  5. Step 5: Solve for x
    x = 34,586,328,676/86,518
  6. Step 6: Final answer
    x = 399,758.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.