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Finding the Third Proportional to 70,288 and 154,974

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Solution

The third proportional to 70,288 and 154,974 is: 341,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288 : 154,974 = 154,974 : x
  2. Step 2: Convert to fraction form
    70,288/154,974 = 154,974/x
  3. Step 3: Cross multiply
    70,288x = 154,974 × 154,974
  4. Step 4: Simplify right side
    70,288x = 24,016,940,676
  5. Step 5: Solve for x
    x = 24,016,940,676/70,288
  6. Step 6: Final answer
    x = 341,693.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.