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Finding the Third Proportional to 404,328,590 and 577,794,920

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Solution

The third proportional to 404,328,590 and 577,794,920 is: 825,682,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,590 : 577,794,920 = 577,794,920 : x
  2. Step 2: Convert to fraction form
    404,328,590/577,794,920 = 577,794,920/x
  3. Step 3: Cross multiply
    404,328,590x = 577,794,920 × 577,794,920
  4. Step 4: Simplify right side
    404,328,590x = 333,846,969,577,806,400
  5. Step 5: Solve for x
    x = 333,846,969,577,806,400/404,328,590
  6. Step 6: Final answer
    x = 825,682,323.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.