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Finding the Third Proportional to 197,103 and 303,377

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Solution

The third proportional to 197,103 and 303,377 is: 466,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,103 : 303,377 = 303,377 : x
  2. Step 2: Convert to fraction form
    197,103/303,377 = 303,377/x
  3. Step 3: Cross multiply
    197,103x = 303,377 × 303,377
  4. Step 4: Simplify right side
    197,103x = 92,037,604,129
  5. Step 5: Solve for x
    x = 92,037,604,129/197,103
  6. Step 6: Final answer
    x = 466,951.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.