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Finding the Third Proportional to 149,713 and 218,767

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Solution

The third proportional to 149,713 and 218,767 is: 319,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713 : 218,767 = 218,767 : x
  2. Step 2: Convert to fraction form
    149,713/218,767 = 218,767/x
  3. Step 3: Cross multiply
    149,713x = 218,767 × 218,767
  4. Step 4: Simplify right side
    149,713x = 47,859,000,289
  5. Step 5: Solve for x
    x = 47,859,000,289/149,713
  6. Step 6: Final answer
    x = 319,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.