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Finding the Third Proportional to 67,989.50 and 149,438

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Solution

The third proportional to 67,989.50 and 149,438 is: 328,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,989.50 : 149,438 = 149,438 : x
  2. Step 2: Convert to fraction form
    67,989.50/149,438 = 149,438/x
  3. Step 3: Cross multiply
    67,989.50x = 149,438 × 149,438
  4. Step 4: Simplify right side
    67,989.50x = 22,331,715,844
  5. Step 5: Solve for x
    x = 22,331,715,844/67,989.50
  6. Step 6: Final answer
    x = 328,458.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.