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Finding the Third Proportional to 172,999 and 374,430

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Solution

The third proportional to 172,999 and 374,430 is: 810,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,999 : 374,430 = 374,430 : x
  2. Step 2: Convert to fraction form
    172,999/374,430 = 374,430/x
  3. Step 3: Cross multiply
    172,999x = 374,430 × 374,430
  4. Step 4: Simplify right side
    172,999x = 140,197,824,900
  5. Step 5: Solve for x
    x = 140,197,824,900/172,999
  6. Step 6: Final answer
    x = 810,396.74

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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.