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Finding the Third Proportional to 45,318 and 99,603

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Solution

The third proportional to 45,318 and 99,603 is: 218,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,318 : 99,603 = 99,603 : x
  2. Step 2: Convert to fraction form
    45,318/99,603 = 99,603/x
  3. Step 3: Cross multiply
    45,318x = 99,603 × 99,603
  4. Step 4: Simplify right side
    45,318x = 9,920,757,609
  5. Step 5: Solve for x
    x = 9,920,757,609/45,318
  6. Step 6: Final answer
    x = 218,914.29

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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.