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Finding the Third Proportional to 169,781 and 353,515

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Solution

The third proportional to 169,781 and 353,515 is: 736,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,781 : 353,515 = 353,515 : x
  2. Step 2: Convert to fraction form
    169,781/353,515 = 353,515/x
  3. Step 3: Cross multiply
    169,781x = 353,515 × 353,515
  4. Step 4: Simplify right side
    169,781x = 124,972,855,225
  5. Step 5: Solve for x
    x = 124,972,855,225/169,781
  6. Step 6: Final answer
    x = 736,082.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.