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Finding the Third Proportional to 127,720 and 170,832

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Solution

The third proportional to 127,720 and 170,832 is: 228,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,720 : 170,832 = 170,832 : x
  2. Step 2: Convert to fraction form
    127,720/170,832 = 170,832/x
  3. Step 3: Cross multiply
    127,720x = 170,832 × 170,832
  4. Step 4: Simplify right side
    127,720x = 29,183,572,224
  5. Step 5: Solve for x
    x = 29,183,572,224/127,720
  6. Step 6: Final answer
    x = 228,496.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.