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Finding the Third Proportional to 399,878 and 603,948

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Solution

The third proportional to 399,878 and 603,948 is: 912,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,878 : 603,948 = 603,948 : x
  2. Step 2: Convert to fraction form
    399,878/603,948 = 603,948/x
  3. Step 3: Cross multiply
    399,878x = 603,948 × 603,948
  4. Step 4: Simplify right side
    399,878x = 364,753,186,704
  5. Step 5: Solve for x
    x = 364,753,186,704/399,878
  6. Step 6: Final answer
    x = 912,161.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.