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Finding the Third Proportional to 70,663 and 151,561

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Solution

The third proportional to 70,663 and 151,561 is: 325,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,663 : 151,561 = 151,561 : x
  2. Step 2: Convert to fraction form
    70,663/151,561 = 151,561/x
  3. Step 3: Cross multiply
    70,663x = 151,561 × 151,561
  4. Step 4: Simplify right side
    70,663x = 22,970,736,721
  5. Step 5: Solve for x
    x = 22,970,736,721/70,663
  6. Step 6: Final answer
    x = 325,074.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.