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Finding the Third Proportional to 66,205 and 156,154

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Solution

The third proportional to 66,205 and 156,154 is: 368,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205 : 156,154 = 156,154 : x
  2. Step 2: Convert to fraction form
    66,205/156,154 = 156,154/x
  3. Step 3: Cross multiply
    66,205x = 156,154 × 156,154
  4. Step 4: Simplify right side
    66,205x = 24,384,071,716
  5. Step 5: Solve for x
    x = 24,384,071,716/66,205
  6. Step 6: Final answer
    x = 368,311.63

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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.