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Finding the Third Proportional to 131,936 and 268,480

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Solution

The third proportional to 131,936 and 268,480 is: 546,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,936 : 268,480 = 268,480 : x
  2. Step 2: Convert to fraction form
    131,936/268,480 = 268,480/x
  3. Step 3: Cross multiply
    131,936x = 268,480 × 268,480
  4. Step 4: Simplify right side
    131,936x = 72,081,510,400
  5. Step 5: Solve for x
    x = 72,081,510,400/131,936
  6. Step 6: Final answer
    x = 546,336.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.