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Finding the Third Proportional to 398,538 and 592,161

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Solution

The third proportional to 398,538 and 592,161 is: 879,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,538 : 592,161 = 592,161 : x
  2. Step 2: Convert to fraction form
    398,538/592,161 = 592,161/x
  3. Step 3: Cross multiply
    398,538x = 592,161 × 592,161
  4. Step 4: Simplify right side
    398,538x = 350,654,649,921
  5. Step 5: Solve for x
    x = 350,654,649,921/398,538
  6. Step 6: Final answer
    x = 879,852.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.