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Finding the Third Proportional to 81,679 and 128,357

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Solution

The third proportional to 81,679 and 128,357 is: 201,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,679 : 128,357 = 128,357 : x
  2. Step 2: Convert to fraction form
    81,679/128,357 = 128,357/x
  3. Step 3: Cross multiply
    81,679x = 128,357 × 128,357
  4. Step 4: Simplify right side
    81,679x = 16,475,519,449
  5. Step 5: Solve for x
    x = 16,475,519,449/81,679
  6. Step 6: Final answer
    x = 201,710.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.