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Finding the Third Proportional to 79,064.50 and 172,721

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Solution

The third proportional to 79,064.50 and 172,721 is: 377,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,064.50 : 172,721 = 172,721 : x
  2. Step 2: Convert to fraction form
    79,064.50/172,721 = 172,721/x
  3. Step 3: Cross multiply
    79,064.50x = 172,721 × 172,721
  4. Step 4: Simplify right side
    79,064.50x = 29,832,543,841
  5. Step 5: Solve for x
    x = 29,832,543,841/79,064.50
  6. Step 6: Final answer
    x = 377,319.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.