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Finding the Third Proportional to 172,842 and 262,757

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Solution

The third proportional to 172,842 and 262,757 is: 399,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,842 : 262,757 = 262,757 : x
  2. Step 2: Convert to fraction form
    172,842/262,757 = 262,757/x
  3. Step 3: Cross multiply
    172,842x = 262,757 × 262,757
  4. Step 4: Simplify right side
    172,842x = 69,041,241,049
  5. Step 5: Solve for x
    x = 69,041,241,049/172,842
  6. Step 6: Final answer
    x = 399,447.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.