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Finding the Third Proportional to 131,299 and 286,361

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Solution

The third proportional to 131,299 and 286,361 is: 624,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,299 : 286,361 = 286,361 : x
  2. Step 2: Convert to fraction form
    131,299/286,361 = 286,361/x
  3. Step 3: Cross multiply
    131,299x = 286,361 × 286,361
  4. Step 4: Simplify right side
    131,299x = 82,002,622,321
  5. Step 5: Solve for x
    x = 82,002,622,321/131,299
  6. Step 6: Final answer
    x = 624,548.72

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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.