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Finding the Third Proportional to 66,411 and 99,867

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Solution

The third proportional to 66,411 and 99,867 is: 150,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411 : 99,867 = 99,867 : x
  2. Step 2: Convert to fraction form
    66,411/99,867 = 99,867/x
  3. Step 3: Cross multiply
    66,411x = 99,867 × 99,867
  4. Step 4: Simplify right side
    66,411x = 9,973,417,689
  5. Step 5: Solve for x
    x = 9,973,417,689/66,411
  6. Step 6: Final answer
    x = 150,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.