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Finding the Third Proportional to 66,195 and 156,129

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Solution

The third proportional to 66,195 and 156,129 is: 368,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,195 : 156,129 = 156,129 : x
  2. Step 2: Convert to fraction form
    66,195/156,129 = 156,129/x
  3. Step 3: Cross multiply
    66,195x = 156,129 × 156,129
  4. Step 4: Simplify right side
    66,195x = 24,376,264,641
  5. Step 5: Solve for x
    x = 24,376,264,641/66,195
  6. Step 6: Final answer
    x = 368,249.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.