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Finding the Third Proportional to 172,995 and 371,856

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Solution

The third proportional to 172,995 and 371,856 is: 799,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,995 : 371,856 = 371,856 : x
  2. Step 2: Convert to fraction form
    172,995/371,856 = 371,856/x
  3. Step 3: Cross multiply
    172,995x = 371,856 × 371,856
  4. Step 4: Simplify right side
    172,995x = 138,276,884,736
  5. Step 5: Solve for x
    x = 138,276,884,736/172,995
  6. Step 6: Final answer
    x = 799,311.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.