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Finding the Third Proportional to 161,976 and 355,840

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Solution

The third proportional to 161,976 and 355,840 is: 781,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,976 : 355,840 = 355,840 : x
  2. Step 2: Convert to fraction form
    161,976/355,840 = 355,840/x
  3. Step 3: Cross multiply
    161,976x = 355,840 × 355,840
  4. Step 4: Simplify right side
    161,976x = 126,622,105,600
  5. Step 5: Solve for x
    x = 126,622,105,600/161,976
  6. Step 6: Final answer
    x = 781,733.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.