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Finding the Third Proportional to 86,376 and 186,899

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Solution

The third proportional to 86,376 and 186,899 is: 404,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,376 : 186,899 = 186,899 : x
  2. Step 2: Convert to fraction form
    86,376/186,899 = 186,899/x
  3. Step 3: Cross multiply
    86,376x = 186,899 × 186,899
  4. Step 4: Simplify right side
    86,376x = 34,931,236,201
  5. Step 5: Solve for x
    x = 34,931,236,201/86,376
  6. Step 6: Final answer
    x = 404,409.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.