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Finding the Third Proportional to 392,261 and 606,143

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Solution

The third proportional to 392,261 and 606,143 is: 936,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,261 : 606,143 = 606,143 : x
  2. Step 2: Convert to fraction form
    392,261/606,143 = 606,143/x
  3. Step 3: Cross multiply
    392,261x = 606,143 × 606,143
  4. Step 4: Simplify right side
    392,261x = 367,409,336,449
  5. Step 5: Solve for x
    x = 367,409,336,449/392,261
  6. Step 6: Final answer
    x = 936,645.08

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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.