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Finding the Third Proportional to 79,214 and 172,088

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Solution

The third proportional to 79,214 and 172,088 is: 373,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,214 : 172,088 = 172,088 : x
  2. Step 2: Convert to fraction form
    79,214/172,088 = 172,088/x
  3. Step 3: Cross multiply
    79,214x = 172,088 × 172,088
  4. Step 4: Simplify right side
    79,214x = 29,614,279,744
  5. Step 5: Solve for x
    x = 29,614,279,744/79,214
  6. Step 6: Final answer
    x = 373,851.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.