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Finding the Third Proportional to 173,489 and 378,415

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Solution

The third proportional to 173,489 and 378,415 is: 825,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,489 : 378,415 = 378,415 : x
  2. Step 2: Convert to fraction form
    173,489/378,415 = 378,415/x
  3. Step 3: Cross multiply
    173,489x = 378,415 × 378,415
  4. Step 4: Simplify right side
    173,489x = 143,197,912,225
  5. Step 5: Solve for x
    x = 143,197,912,225/173,489
  6. Step 6: Final answer
    x = 825,400.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.