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Finding the Third Proportional to 149,614.50 and 319,965

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Solution

The third proportional to 149,614.50 and 319,965 is: 684,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,614.50 : 319,965 = 319,965 : x
  2. Step 2: Convert to fraction form
    149,614.50/319,965 = 319,965/x
  3. Step 3: Cross multiply
    149,614.50x = 319,965 × 319,965
  4. Step 4: Simplify right side
    149,614.50x = 102,377,601,225
  5. Step 5: Solve for x
    x = 102,377,601,225/149,614.50
  6. Step 6: Final answer
    x = 684,275.93

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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.