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Finding the Third Proportional to 79,419 and 171,894

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Solution

The third proportional to 79,419 and 171,894 is: 372,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,419 : 171,894 = 171,894 : x
  2. Step 2: Convert to fraction form
    79,419/171,894 = 171,894/x
  3. Step 3: Cross multiply
    79,419x = 171,894 × 171,894
  4. Step 4: Simplify right side
    79,419x = 29,547,547,236
  5. Step 5: Solve for x
    x = 29,547,547,236/79,419
  6. Step 6: Final answer
    x = 372,046.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.