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Finding the Third Proportional to 137,146.50 and 205,719.75

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Solution

The third proportional to 137,146.50 and 205,719.75 is: 308,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,146.50 : 205,719.75 = 205,719.75 : x
  2. Step 2: Convert to fraction form
    137,146.50/205,719.75 = 205,719.75/x
  3. Step 3: Cross multiply
    137,146.50x = 205,719.75 × 205,719.75
  4. Step 4: Simplify right side
    137,146.50x = 42,320,615,540.06
  5. Step 5: Solve for x
    x = 42,320,615,540.06/137,146.50
  6. Step 6: Final answer
    x = 308,579.63

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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.