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Finding the Third Proportional to 399,570.75 and 603,488.25

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Solution

The third proportional to 399,570.75 and 603,488.25 is: 911,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,570.75 : 603,488.25 = 603,488.25 : x
  2. Step 2: Convert to fraction form
    399,570.75/603,488.25 = 603,488.25/x
  3. Step 3: Cross multiply
    399,570.75x = 603,488.25 × 603,488.25
  4. Step 4: Simplify right side
    399,570.75x = 364,198,067,888.06
  5. Step 5: Solve for x
    x = 364,198,067,888.06/399,570.75
  6. Step 6: Final answer
    x = 911,473.29

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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.