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Finding the Third Proportional to 70,850 and 149,698

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Solution

The third proportional to 70,850 and 149,698 is: 316,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850 : 149,698 = 149,698 : x
  2. Step 2: Convert to fraction form
    70,850/149,698 = 149,698/x
  3. Step 3: Cross multiply
    70,850x = 149,698 × 149,698
  4. Step 4: Simplify right side
    70,850x = 22,409,491,204
  5. Step 5: Solve for x
    x = 22,409,491,204/70,850
  6. Step 6: Final answer
    x = 316,294.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.