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Finding the Third Proportional to 70,908 and 154,695

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Solution

The third proportional to 70,908 and 154,695 is: 337,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908 : 154,695 = 154,695 : x
  2. Step 2: Convert to fraction form
    70,908/154,695 = 154,695/x
  3. Step 3: Cross multiply
    70,908x = 154,695 × 154,695
  4. Step 4: Simplify right side
    70,908x = 23,930,543,025
  5. Step 5: Solve for x
    x = 23,930,543,025/70,908
  6. Step 6: Final answer
    x = 337,487.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.