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Finding the Third Proportional to 289,924 and 408,277

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Solution

The third proportional to 289,924 and 408,277 is: 574,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,924 : 408,277 = 408,277 : x
  2. Step 2: Convert to fraction form
    289,924/408,277 = 408,277/x
  3. Step 3: Cross multiply
    289,924x = 408,277 × 408,277
  4. Step 4: Simplify right side
    289,924x = 166,690,108,729
  5. Step 5: Solve for x
    x = 166,690,108,729/289,924
  6. Step 6: Final answer
    x = 574,944.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.