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Finding the Third Proportional to 161,128 and 332,616

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Solution

The third proportional to 161,128 and 332,616 is: 686,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,128 : 332,616 = 332,616 : x
  2. Step 2: Convert to fraction form
    161,128/332,616 = 332,616/x
  3. Step 3: Cross multiply
    161,128x = 332,616 × 332,616
  4. Step 4: Simplify right side
    161,128x = 110,633,403,456
  5. Step 5: Solve for x
    x = 110,633,403,456/161,128
  6. Step 6: Final answer
    x = 686,618.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.