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Finding the Third Proportional to 392,356 and 555,337

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Solution

The third proportional to 392,356 and 555,337 is: 786,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,356 : 555,337 = 555,337 : x
  2. Step 2: Convert to fraction form
    392,356/555,337 = 555,337/x
  3. Step 3: Cross multiply
    392,356x = 555,337 × 555,337
  4. Step 4: Simplify right side
    392,356x = 308,399,183,569
  5. Step 5: Solve for x
    x = 308,399,183,569/392,356
  6. Step 6: Final answer
    x = 786,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.