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Finding the Third Proportional to 70,260 and 150,357

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Solution

The third proportional to 70,260 and 150,357 is: 321,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,260 : 150,357 = 150,357 : x
  2. Step 2: Convert to fraction form
    70,260/150,357 = 150,357/x
  3. Step 3: Cross multiply
    70,260x = 150,357 × 150,357
  4. Step 4: Simplify right side
    70,260x = 22,607,227,449
  5. Step 5: Solve for x
    x = 22,607,227,449/70,260
  6. Step 6: Final answer
    x = 321,765.26

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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.