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Finding the Third Proportional to 66,766 and 155,250

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Solution

The third proportional to 66,766 and 155,250 is: 361,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 155,250 = 155,250 : x
  2. Step 2: Convert to fraction form
    66,766/155,250 = 155,250/x
  3. Step 3: Cross multiply
    66,766x = 155,250 × 155,250
  4. Step 4: Simplify right side
    66,766x = 24,102,562,500
  5. Step 5: Solve for x
    x = 24,102,562,500/66,766
  6. Step 6: Final answer
    x = 361,000.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.