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Finding the Third Proportional to 131,262 and 286,282

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Solution

The third proportional to 131,262 and 286,282 is: 624,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,262 : 286,282 = 286,282 : x
  2. Step 2: Convert to fraction form
    131,262/286,282 = 286,282/x
  3. Step 3: Cross multiply
    131,262x = 286,282 × 286,282
  4. Step 4: Simplify right side
    131,262x = 81,957,383,524
  5. Step 5: Solve for x
    x = 81,957,383,524/131,262
  6. Step 6: Final answer
    x = 624,380.12

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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.