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Finding the Third Proportional to 161,747 and 351,834

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Solution

The third proportional to 161,747 and 351,834 is: 765,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,747 : 351,834 = 351,834 : x
  2. Step 2: Convert to fraction form
    161,747/351,834 = 351,834/x
  3. Step 3: Cross multiply
    161,747x = 351,834 × 351,834
  4. Step 4: Simplify right side
    161,747x = 123,787,163,556
  5. Step 5: Solve for x
    x = 123,787,163,556/161,747
  6. Step 6: Final answer
    x = 765,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.