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Finding the Third Proportional to 99,840 and 219,648

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Solution

The third proportional to 99,840 and 219,648 is: 483,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840 : 219,648 = 219,648 : x
  2. Step 2: Convert to fraction form
    99,840/219,648 = 219,648/x
  3. Step 3: Cross multiply
    99,840x = 219,648 × 219,648
  4. Step 4: Simplify right side
    99,840x = 48,245,243,904
  5. Step 5: Solve for x
    x = 48,245,243,904/99,840
  6. Step 6: Final answer
    x = 483,225.60

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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.