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Finding the Third Proportional to 149,015 and 319,337

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Solution

The third proportional to 149,015 and 319,337 is: 684,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015 : 319,337 = 319,337 : x
  2. Step 2: Convert to fraction form
    149,015/319,337 = 319,337/x
  3. Step 3: Cross multiply
    149,015x = 319,337 × 319,337
  4. Step 4: Simplify right side
    149,015x = 101,976,119,569
  5. Step 5: Solve for x
    x = 101,976,119,569/149,015
  6. Step 6: Final answer
    x = 684,334.59

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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.