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Finding the Third Proportional to 392,533 and 847,238

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Solution

The third proportional to 392,533 and 847,238 is: 1,828,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,533 : 847,238 = 847,238 : x
  2. Step 2: Convert to fraction form
    392,533/847,238 = 847,238/x
  3. Step 3: Cross multiply
    392,533x = 847,238 × 847,238
  4. Step 4: Simplify right side
    392,533x = 717,812,228,644
  5. Step 5: Solve for x
    x = 717,812,228,644/392,533
  6. Step 6: Final answer
    x = 1,828,667.22

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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.