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Finding the Third Proportional to 172,984 and 374,399

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Solution

The third proportional to 172,984 and 374,399 is: 810,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984 : 374,399 = 374,399 : x
  2. Step 2: Convert to fraction form
    172,984/374,399 = 374,399/x
  3. Step 3: Cross multiply
    172,984x = 374,399 × 374,399
  4. Step 4: Simplify right side
    172,984x = 140,174,611,201
  5. Step 5: Solve for x
    x = 140,174,611,201/172,984
  6. Step 6: Final answer
    x = 810,332.81

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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.