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Finding the Third Proportional to 99,710 and 219,660

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Solution

The third proportional to 99,710 and 219,660 is: 483,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710 : 219,660 = 219,660 : x
  2. Step 2: Convert to fraction form
    99,710/219,660 = 219,660/x
  3. Step 3: Cross multiply
    99,710x = 219,660 × 219,660
  4. Step 4: Simplify right side
    99,710x = 48,250,515,600
  5. Step 5: Solve for x
    x = 48,250,515,600/99,710
  6. Step 6: Final answer
    x = 483,908.49

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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.