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Finding the Third Proportional to 66,155 and 156,142

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Solution

The third proportional to 66,155 and 156,142 is: 368,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,155 : 156,142 = 156,142 : x
  2. Step 2: Convert to fraction form
    66,155/156,142 = 156,142/x
  3. Step 3: Cross multiply
    66,155x = 156,142 × 156,142
  4. Step 4: Simplify right side
    66,155x = 24,380,324,164
  5. Step 5: Solve for x
    x = 24,380,324,164/66,155
  6. Step 6: Final answer
    x = 368,533.36

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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.