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Finding the Third Proportional to 64,137.75 and 136,579.88

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Solution

The third proportional to 64,137.75 and 136,579.88 is: 290,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137.75 : 136,579.88 = 136,579.88 : x
  2. Step 2: Convert to fraction form
    64,137.75/136,579.88 = 136,579.88/x
  3. Step 3: Cross multiply
    64,137.75x = 136,579.88 × 136,579.88
  4. Step 4: Simplify right side
    64,137.75x = 18,654,062,255.02
  5. Step 5: Solve for x
    x = 18,654,062,255.02/64,137.75
  6. Step 6: Final answer
    x = 290,843.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.