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Finding the Third Proportional to 170,469 and 260,892

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Solution

The third proportional to 170,469 and 260,892 is: 399,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,469 : 260,892 = 260,892 : x
  2. Step 2: Convert to fraction form
    170,469/260,892 = 260,892/x
  3. Step 3: Cross multiply
    170,469x = 260,892 × 260,892
  4. Step 4: Simplify right side
    170,469x = 68,064,635,664
  5. Step 5: Solve for x
    x = 68,064,635,664/170,469
  6. Step 6: Final answer
    x = 399,278.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.