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Finding the Third Proportional to 76,072 and 154,448

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Solution

The third proportional to 76,072 and 154,448 is: 313,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072 : 154,448 = 154,448 : x
  2. Step 2: Convert to fraction form
    76,072/154,448 = 154,448/x
  3. Step 3: Cross multiply
    76,072x = 154,448 × 154,448
  4. Step 4: Simplify right side
    76,072x = 23,854,184,704
  5. Step 5: Solve for x
    x = 23,854,184,704/76,072
  6. Step 6: Final answer
    x = 313,573.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.