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Finding the Third Proportional to 85,431 and 186,414

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Solution

The third proportional to 85,431 and 186,414 is: 406,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431 : 186,414 = 186,414 : x
  2. Step 2: Convert to fraction form
    85,431/186,414 = 186,414/x
  3. Step 3: Cross multiply
    85,431x = 186,414 × 186,414
  4. Step 4: Simplify right side
    85,431x = 34,750,179,396
  5. Step 5: Solve for x
    x = 34,750,179,396/85,431
  6. Step 6: Final answer
    x = 406,763.11

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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.