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Finding the Third Proportional to 219,387 and 474,756

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Solution

The third proportional to 219,387 and 474,756 is: 1,027,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,387 : 474,756 = 474,756 : x
  2. Step 2: Convert to fraction form
    219,387/474,756 = 474,756/x
  3. Step 3: Cross multiply
    219,387x = 474,756 × 474,756
  4. Step 4: Simplify right side
    219,387x = 225,393,259,536
  5. Step 5: Solve for x
    x = 225,393,259,536/219,387
  6. Step 6: Final answer
    x = 1,027,377.46

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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.