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Finding the Third Proportional to 85,378 and 186,983

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Solution

The third proportional to 85,378 and 186,983 is: 409,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378 : 186,983 = 186,983 : x
  2. Step 2: Convert to fraction form
    85,378/186,983 = 186,983/x
  3. Step 3: Cross multiply
    85,378x = 186,983 × 186,983
  4. Step 4: Simplify right side
    85,378x = 34,962,642,289
  5. Step 5: Solve for x
    x = 34,962,642,289/85,378
  6. Step 6: Final answer
    x = 409,504.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.