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Finding the Third Proportional to 399,228 and 619,341

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Solution

The third proportional to 399,228 and 619,341 is: 960,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,228 : 619,341 = 619,341 : x
  2. Step 2: Convert to fraction form
    399,228/619,341 = 619,341/x
  3. Step 3: Cross multiply
    399,228x = 619,341 × 619,341
  4. Step 4: Simplify right side
    399,228x = 383,583,274,281
  5. Step 5: Solve for x
    x = 383,583,274,281/399,228
  6. Step 6: Final answer
    x = 960,812.55

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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.