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Finding the Third Proportional to 70,489 and 164,480

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Solution

The third proportional to 70,489 and 164,480 is: 383,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489 : 164,480 = 164,480 : x
  2. Step 2: Convert to fraction form
    70,489/164,480 = 164,480/x
  3. Step 3: Cross multiply
    70,489x = 164,480 × 164,480
  4. Step 4: Simplify right side
    70,489x = 27,053,670,400
  5. Step 5: Solve for x
    x = 27,053,670,400/70,489
  6. Step 6: Final answer
    x = 383,799.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.