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Finding the Third Proportional to 70,272 and 150,480

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Solution

The third proportional to 70,272 and 150,480 is: 322,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272 : 150,480 = 150,480 : x
  2. Step 2: Convert to fraction form
    70,272/150,480 = 150,480/x
  3. Step 3: Cross multiply
    70,272x = 150,480 × 150,480
  4. Step 4: Simplify right side
    70,272x = 22,644,230,400
  5. Step 5: Solve for x
    x = 22,644,230,400/70,272
  6. Step 6: Final answer
    x = 322,236.89

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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.