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Finding the Third Proportional to 99,729 and 219,681

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Solution

The third proportional to 99,729 and 219,681 is: 483,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729 : 219,681 = 219,681 : x
  2. Step 2: Convert to fraction form
    99,729/219,681 = 219,681/x
  3. Step 3: Cross multiply
    99,729x = 219,681 × 219,681
  4. Step 4: Simplify right side
    99,729x = 48,259,741,761
  5. Step 5: Solve for x
    x = 48,259,741,761/99,729
  6. Step 6: Final answer
    x = 483,908.81

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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.