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Finding the Third Proportional to 392,257 and 606,137

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Solution

The third proportional to 392,257 and 606,137 is: 936,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257 : 606,137 = 606,137 : x
  2. Step 2: Convert to fraction form
    392,257/606,137 = 606,137/x
  3. Step 3: Cross multiply
    392,257x = 606,137 × 606,137
  4. Step 4: Simplify right side
    392,257x = 367,402,062,769
  5. Step 5: Solve for x
    x = 367,402,062,769/392,257
  6. Step 6: Final answer
    x = 936,636.09

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