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Finding the Third Proportional to 69,118 and 99,903

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Solution

The third proportional to 69,118 and 99,903 is: 144,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,118 : 99,903 = 99,903 : x
  2. Step 2: Convert to fraction form
    69,118/99,903 = 99,903/x
  3. Step 3: Cross multiply
    69,118x = 99,903 × 99,903
  4. Step 4: Simplify right side
    69,118x = 9,980,609,409
  5. Step 5: Solve for x
    x = 9,980,609,409/69,118
  6. Step 6: Final answer
    x = 144,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.