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Finding the Third Proportional to 100,413 and 219,456

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Solution

The third proportional to 100,413 and 219,456 is: 479,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413 : 219,456 = 219,456 : x
  2. Step 2: Convert to fraction form
    100,413/219,456 = 219,456/x
  3. Step 3: Cross multiply
    100,413x = 219,456 × 219,456
  4. Step 4: Simplify right side
    100,413x = 48,160,935,936
  5. Step 5: Solve for x
    x = 48,160,935,936/100,413
  6. Step 6: Final answer
    x = 479,628.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.