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Finding the Third Proportional to 318,864 and 699,928

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Solution

The third proportional to 318,864 and 699,928 is: 1,536,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,864 : 699,928 = 699,928 : x
  2. Step 2: Convert to fraction form
    318,864/699,928 = 699,928/x
  3. Step 3: Cross multiply
    318,864x = 699,928 × 699,928
  4. Step 4: Simplify right side
    318,864x = 489,899,205,184
  5. Step 5: Solve for x
    x = 489,899,205,184/318,864
  6. Step 6: Final answer
    x = 1,536,389.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.