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Finding the Third Proportional to 137,774.25 and 208,737.56

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Solution

The third proportional to 137,774.25 and 208,737.56 is: 316,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,774.25 : 208,737.56 = 208,737.56 : x
  2. Step 2: Convert to fraction form
    137,774.25/208,737.56 = 208,737.56/x
  3. Step 3: Cross multiply
    137,774.25x = 208,737.56 × 208,737.56
  4. Step 4: Simplify right side
    137,774.25x = 43,571,369,998.44
  5. Step 5: Solve for x
    x = 43,571,369,998.44/137,774.25
  6. Step 6: Final answer
    x = 316,251.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.