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Finding the Third Proportional to 79,623 and 172,530

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Solution

The third proportional to 79,623 and 172,530 is: 373,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,623 : 172,530 = 172,530 : x
  2. Step 2: Convert to fraction form
    79,623/172,530 = 172,530/x
  3. Step 3: Cross multiply
    79,623x = 172,530 × 172,530
  4. Step 4: Simplify right side
    79,623x = 29,766,600,900
  5. Step 5: Solve for x
    x = 29,766,600,900/79,623
  6. Step 6: Final answer
    x = 373,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.