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Finding the Third Proportional to 70,372 and 149,894

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Solution

The third proportional to 70,372 and 149,894 is: 319,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,372 : 149,894 = 149,894 : x
  2. Step 2: Convert to fraction form
    70,372/149,894 = 149,894/x
  3. Step 3: Cross multiply
    70,372x = 149,894 × 149,894
  4. Step 4: Simplify right side
    70,372x = 22,468,211,236
  5. Step 5: Solve for x
    x = 22,468,211,236/70,372
  6. Step 6: Final answer
    x = 319,277.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.