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Finding the Third Proportional to 70,378 and 146,561

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Solution

The third proportional to 70,378 and 146,561 is: 305,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378 : 146,561 = 146,561 : x
  2. Step 2: Convert to fraction form
    70,378/146,561 = 146,561/x
  3. Step 3: Cross multiply
    70,378x = 146,561 × 146,561
  4. Step 4: Simplify right side
    70,378x = 21,480,126,721
  5. Step 5: Solve for x
    x = 21,480,126,721/70,378
  6. Step 6: Final answer
    x = 305,210.81

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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.