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Finding the Third Proportional to 79,034 and 172,821

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Solution

The third proportional to 79,034 and 172,821 is: 377,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,034 : 172,821 = 172,821 : x
  2. Step 2: Convert to fraction form
    79,034/172,821 = 172,821/x
  3. Step 3: Cross multiply
    79,034x = 172,821 × 172,821
  4. Step 4: Simplify right side
    79,034x = 29,867,098,041
  5. Step 5: Solve for x
    x = 29,867,098,041/79,034
  6. Step 6: Final answer
    x = 377,901.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.