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Finding the Third Proportional to 161,228 and 335,536

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Solution

The third proportional to 161,228 and 335,536 is: 698,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,228 : 335,536 = 335,536 : x
  2. Step 2: Convert to fraction form
    161,228/335,536 = 335,536/x
  3. Step 3: Cross multiply
    161,228x = 335,536 × 335,536
  4. Step 4: Simplify right side
    161,228x = 112,584,407,296
  5. Step 5: Solve for x
    x = 112,584,407,296/161,228
  6. Step 6: Final answer
    x = 698,293.15

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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.