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Finding the Third Proportional to 45,559 and 99,891

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Solution

The third proportional to 45,559 and 99,891 is: 219,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,559 : 99,891 = 99,891 : x
  2. Step 2: Convert to fraction form
    45,559/99,891 = 99,891/x
  3. Step 3: Cross multiply
    45,559x = 99,891 × 99,891
  4. Step 4: Simplify right side
    45,559x = 9,978,211,881
  5. Step 5: Solve for x
    x = 9,978,211,881/45,559
  6. Step 6: Final answer
    x = 219,017.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.