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Finding the Third Proportional to 399,104 and 619,643

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Solution

The third proportional to 399,104 and 619,643 is: 962,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,104 : 619,643 = 619,643 : x
  2. Step 2: Convert to fraction form
    399,104/619,643 = 619,643/x
  3. Step 3: Cross multiply
    399,104x = 619,643 × 619,643
  4. Step 4: Simplify right side
    399,104x = 383,957,447,449
  5. Step 5: Solve for x
    x = 383,957,447,449/399,104
  6. Step 6: Final answer
    x = 962,048.61

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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.