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Finding the Third Proportional to 99,072 and 219,520

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Solution

The third proportional to 99,072 and 219,520 is: 486,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 219,520 = 219,520 : x
  2. Step 2: Convert to fraction form
    99,072/219,520 = 219,520/x
  3. Step 3: Cross multiply
    99,072x = 219,520 × 219,520
  4. Step 4: Simplify right side
    99,072x = 48,189,030,400
  5. Step 5: Solve for x
    x = 48,189,030,400/99,072
  6. Step 6: Final answer
    x = 486,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.