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Finding the Third Proportional to 79,729.50 and 167,721

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Solution

The third proportional to 79,729.50 and 167,721 is: 352,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,729.50 : 167,721 = 167,721 : x
  2. Step 2: Convert to fraction form
    79,729.50/167,721 = 167,721/x
  3. Step 3: Cross multiply
    79,729.50x = 167,721 × 167,721
  4. Step 4: Simplify right side
    79,729.50x = 28,130,333,841
  5. Step 5: Solve for x
    x = 28,130,333,841/79,729.50
  6. Step 6: Final answer
    x = 352,822.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.