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Finding the Third Proportional to 99,018 and 217,638

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Solution

The third proportional to 99,018 and 217,638 is: 478,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 217,638 = 217,638 : x
  2. Step 2: Convert to fraction form
    99,018/217,638 = 217,638/x
  3. Step 3: Cross multiply
    99,018x = 217,638 × 217,638
  4. Step 4: Simplify right side
    99,018x = 47,366,299,044
  5. Step 5: Solve for x
    x = 47,366,299,044/99,018
  6. Step 6: Final answer
    x = 478,360.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.