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Finding the Third Proportional to 289,988 and 408,374

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Solution

The third proportional to 289,988 and 408,374 is: 575,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,988 : 408,374 = 408,374 : x
  2. Step 2: Convert to fraction form
    289,988/408,374 = 408,374/x
  3. Step 3: Cross multiply
    289,988x = 408,374 × 408,374
  4. Step 4: Simplify right side
    289,988x = 166,769,323,876
  5. Step 5: Solve for x
    x = 166,769,323,876/289,988
  6. Step 6: Final answer
    x = 575,090.43

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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.