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Finding the Third Proportional to 79,993 and 172,815

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Solution

The third proportional to 79,993 and 172,815 is: 373,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,993 : 172,815 = 172,815 : x
  2. Step 2: Convert to fraction form
    79,993/172,815 = 172,815/x
  3. Step 3: Cross multiply
    79,993x = 172,815 × 172,815
  4. Step 4: Simplify right side
    79,993x = 29,865,024,225
  5. Step 5: Solve for x
    x = 29,865,024,225/79,993
  6. Step 6: Final answer
    x = 373,345.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.