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Finding the Third Proportional to 79,489 and 168,455

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Solution

The third proportional to 79,489 and 168,455 is: 356,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,489 : 168,455 = 168,455 : x
  2. Step 2: Convert to fraction form
    79,489/168,455 = 168,455/x
  3. Step 3: Cross multiply
    79,489x = 168,455 × 168,455
  4. Step 4: Simplify right side
    79,489x = 28,377,087,025
  5. Step 5: Solve for x
    x = 28,377,087,025/79,489
  6. Step 6: Final answer
    x = 356,993.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.