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Finding the Third Proportional to 70,566 and 150,843

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Solution

The third proportional to 70,566 and 150,843 is: 322,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 150,843 = 150,843 : x
  2. Step 2: Convert to fraction form
    70,566/150,843 = 150,843/x
  3. Step 3: Cross multiply
    70,566x = 150,843 × 150,843
  4. Step 4: Simplify right side
    70,566x = 22,753,610,649
  5. Step 5: Solve for x
    x = 22,753,610,649/70,566
  6. Step 6: Final answer
    x = 322,444.39

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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.