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Finding the Third Proportional to 399,560 and 618,636

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Solution

The third proportional to 399,560 and 618,636 is: 957,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,560 : 618,636 = 618,636 : x
  2. Step 2: Convert to fraction form
    399,560/618,636 = 618,636/x
  3. Step 3: Cross multiply
    399,560x = 618,636 × 618,636
  4. Step 4: Simplify right side
    399,560x = 382,710,500,496
  5. Step 5: Solve for x
    x = 382,710,500,496/399,560
  6. Step 6: Final answer
    x = 957,829.86

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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.