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Finding the Third Proportional to 140,176 and 303,680

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Solution

The third proportional to 140,176 and 303,680 is: 657,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,176 : 303,680 = 303,680 : x
  2. Step 2: Convert to fraction form
    140,176/303,680 = 303,680/x
  3. Step 3: Cross multiply
    140,176x = 303,680 × 303,680
  4. Step 4: Simplify right side
    140,176x = 92,221,542,400
  5. Step 5: Solve for x
    x = 92,221,542,400/140,176
  6. Step 6: Final answer
    x = 657,898.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.