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Finding the Third Proportional to 70,554 and 146,859

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Solution

The third proportional to 70,554 and 146,859 is: 305,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,554 : 146,859 = 146,859 : x
  2. Step 2: Convert to fraction form
    70,554/146,859 = 146,859/x
  3. Step 3: Cross multiply
    70,554x = 146,859 × 146,859
  4. Step 4: Simplify right side
    70,554x = 21,567,565,881
  5. Step 5: Solve for x
    x = 21,567,565,881/70,554
  6. Step 6: Final answer
    x = 305,688.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.