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Finding the Third Proportional to 79,476 and 172,621

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Solution

The third proportional to 79,476 and 172,621 is: 374,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,476 : 172,621 = 172,621 : x
  2. Step 2: Convert to fraction form
    79,476/172,621 = 172,621/x
  3. Step 3: Cross multiply
    79,476x = 172,621 × 172,621
  4. Step 4: Simplify right side
    79,476x = 29,798,009,641
  5. Step 5: Solve for x
    x = 29,798,009,641/79,476
  6. Step 6: Final answer
    x = 374,930.92

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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.