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Finding the Third Proportional to 392,255 and 606,134

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Solution

The third proportional to 392,255 and 606,134 is: 936,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255 : 606,134 = 606,134 : x
  2. Step 2: Convert to fraction form
    392,255/606,134 = 606,134/x
  3. Step 3: Cross multiply
    392,255x = 606,134 × 606,134
  4. Step 4: Simplify right side
    392,255x = 367,398,425,956
  5. Step 5: Solve for x
    x = 367,398,425,956/392,255
  6. Step 6: Final answer
    x = 936,631.59

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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.