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Finding the Third Proportional to 315,261 and 442,374

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Solution

The third proportional to 315,261 and 442,374 is: 620,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,261 : 442,374 = 442,374 : x
  2. Step 2: Convert to fraction form
    315,261/442,374 = 442,374/x
  3. Step 3: Cross multiply
    315,261x = 442,374 × 442,374
  4. Step 4: Simplify right side
    315,261x = 195,694,755,876
  5. Step 5: Solve for x
    x = 195,694,755,876/315,261
  6. Step 6: Final answer
    x = 620,738.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.