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Finding the Third Proportional to 79,082 and 172,912

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Solution

The third proportional to 79,082 and 172,912 is: 378,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,082 : 172,912 = 172,912 : x
  2. Step 2: Convert to fraction form
    79,082/172,912 = 172,912/x
  3. Step 3: Cross multiply
    79,082x = 172,912 × 172,912
  4. Step 4: Simplify right side
    79,082x = 29,898,559,744
  5. Step 5: Solve for x
    x = 29,898,559,744/79,082
  6. Step 6: Final answer
    x = 378,070.35

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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.