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Finding the Third Proportional to 137,150 and 205,725

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Solution

The third proportional to 137,150 and 205,725 is: 308,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,150 : 205,725 = 205,725 : x
  2. Step 2: Convert to fraction form
    137,150/205,725 = 205,725/x
  3. Step 3: Cross multiply
    137,150x = 205,725 × 205,725
  4. Step 4: Simplify right side
    137,150x = 42,322,775,625
  5. Step 5: Solve for x
    x = 42,322,775,625/137,150
  6. Step 6: Final answer
    x = 308,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.