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Finding the Third Proportional to 96,736 and 212,480

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Solution

The third proportional to 96,736 and 212,480 is: 466,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,736 : 212,480 = 212,480 : x
  2. Step 2: Convert to fraction form
    96,736/212,480 = 212,480/x
  3. Step 3: Cross multiply
    96,736x = 212,480 × 212,480
  4. Step 4: Simplify right side
    96,736x = 45,147,750,400
  5. Step 5: Solve for x
    x = 45,147,750,400/96,736
  6. Step 6: Final answer
    x = 466,710.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.