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Finding the Third Proportional to 131,318 and 286,398

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Solution

The third proportional to 131,318 and 286,398 is: 624,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,318 : 286,398 = 286,398 : x
  2. Step 2: Convert to fraction form
    131,318/286,398 = 286,398/x
  3. Step 3: Cross multiply
    131,318x = 286,398 × 286,398
  4. Step 4: Simplify right side
    131,318x = 82,023,814,404
  5. Step 5: Solve for x
    x = 82,023,814,404/131,318
  6. Step 6: Final answer
    x = 624,619.74

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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.