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Finding the Third Proportional to 219,389 and 474,760

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Solution

The third proportional to 219,389 and 474,760 is: 1,027,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,389 : 474,760 = 474,760 : x
  2. Step 2: Convert to fraction form
    219,389/474,760 = 474,760/x
  3. Step 3: Cross multiply
    219,389x = 474,760 × 474,760
  4. Step 4: Simplify right side
    219,389x = 225,397,057,600
  5. Step 5: Solve for x
    x = 225,397,057,600/219,389
  6. Step 6: Final answer
    x = 1,027,385.41

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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.