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Finding the Third Proportional to 381,225 and 814,803

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Solution

The third proportional to 381,225 and 814,803 is: 1,741,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,225 : 814,803 = 814,803 : x
  2. Step 2: Convert to fraction form
    381,225/814,803 = 814,803/x
  3. Step 3: Cross multiply
    381,225x = 814,803 × 814,803
  4. Step 4: Simplify right side
    381,225x = 663,903,928,809
  5. Step 5: Solve for x
    x = 663,903,928,809/381,225
  6. Step 6: Final answer
    x = 1,741,501.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.