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Finding the Third Proportional to 161,320 and 256,242

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Solution

The third proportional to 161,320 and 256,242 is: 407,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,320 : 256,242 = 256,242 : x
  2. Step 2: Convert to fraction form
    161,320/256,242 = 256,242/x
  3. Step 3: Cross multiply
    161,320x = 256,242 × 256,242
  4. Step 4: Simplify right side
    161,320x = 65,659,962,564
  5. Step 5: Solve for x
    x = 65,659,962,564/161,320
  6. Step 6: Final answer
    x = 407,016.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.