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Finding the Third Proportional to 392,308 and 606,206

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Solution

The third proportional to 392,308 and 606,206 is: 936,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,308 : 606,206 = 606,206 : x
  2. Step 2: Convert to fraction form
    392,308/606,206 = 606,206/x
  3. Step 3: Cross multiply
    392,308x = 606,206 × 606,206
  4. Step 4: Simplify right side
    392,308x = 367,485,714,436
  5. Step 5: Solve for x
    x = 367,485,714,436/392,308
  6. Step 6: Final answer
    x = 936,727.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.