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Finding the Third Proportional to 161,859 and 355,836

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Solution

The third proportional to 161,859 and 355,836 is: 782,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,859 : 355,836 = 355,836 : x
  2. Step 2: Convert to fraction form
    161,859/355,836 = 355,836/x
  3. Step 3: Cross multiply
    161,859x = 355,836 × 355,836
  4. Step 4: Simplify right side
    161,859x = 126,619,258,896
  5. Step 5: Solve for x
    x = 126,619,258,896/161,859
  6. Step 6: Final answer
    x = 782,281.24

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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.