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Finding the Third Proportional to 66,770 and 155,260

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Solution

The third proportional to 66,770 and 155,260 is: 361,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,770 : 155,260 = 155,260 : x
  2. Step 2: Convert to fraction form
    66,770/155,260 = 155,260/x
  3. Step 3: Cross multiply
    66,770x = 155,260 × 155,260
  4. Step 4: Simplify right side
    66,770x = 24,105,667,600
  5. Step 5: Solve for x
    x = 24,105,667,600/66,770
  6. Step 6: Final answer
    x = 361,025.42

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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.