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Finding the Third Proportional to 64,960 and 140,282

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Solution

The third proportional to 64,960 and 140,282 is: 302,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,960 : 140,282 = 140,282 : x
  2. Step 2: Convert to fraction form
    64,960/140,282 = 140,282/x
  3. Step 3: Cross multiply
    64,960x = 140,282 × 140,282
  4. Step 4: Simplify right side
    64,960x = 19,679,039,524
  5. Step 5: Solve for x
    x = 19,679,039,524/64,960
  6. Step 6: Final answer
    x = 302,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.