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Finding the Third Proportional to 43,078 and 64,357

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Solution

The third proportional to 43,078 and 64,357 is: 96,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,078 : 64,357 = 64,357 : x
  2. Step 2: Convert to fraction form
    43,078/64,357 = 64,357/x
  3. Step 3: Cross multiply
    43,078x = 64,357 × 64,357
  4. Step 4: Simplify right side
    43,078x = 4,141,823,449
  5. Step 5: Solve for x
    x = 4,141,823,449/43,078
  6. Step 6: Final answer
    x = 96,147.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.