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Finding the Third Proportional to 66,143 and 156,108

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Solution

The third proportional to 66,143 and 156,108 is: 368,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,143 : 156,108 = 156,108 : x
  2. Step 2: Convert to fraction form
    66,143/156,108 = 156,108/x
  3. Step 3: Cross multiply
    66,143x = 156,108 × 156,108
  4. Step 4: Simplify right side
    66,143x = 24,369,707,664
  5. Step 5: Solve for x
    x = 24,369,707,664/66,143
  6. Step 6: Final answer
    x = 368,439.71

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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.