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Finding the Third Proportional to 64,325 and 137,878

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Solution

The third proportional to 64,325 and 137,878 is: 295,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,325 : 137,878 = 137,878 : x
  2. Step 2: Convert to fraction form
    64,325/137,878 = 137,878/x
  3. Step 3: Cross multiply
    64,325x = 137,878 × 137,878
  4. Step 4: Simplify right side
    64,325x = 19,010,342,884
  5. Step 5: Solve for x
    x = 19,010,342,884/64,325
  6. Step 6: Final answer
    x = 295,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.