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Finding the Third Proportional to 404,328,280.50 and 577,794,469.50

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Solution

The third proportional to 404,328,280.50 and 577,794,469.50 is: 825,681,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,280.50 : 577,794,469.50 = 577,794,469.50 : x
  2. Step 2: Convert to fraction form
    404,328,280.50/577,794,469.50 = 577,794,469.50/x
  3. Step 3: Cross multiply
    404,328,280.50x = 577,794,469.50 × 577,794,469.50
  4. Step 4: Simplify right side
    404,328,280.50x = 333,846,448,984,786,432
  5. Step 5: Solve for x
    x = 333,846,448,984,786,432/404,328,280.50
  6. Step 6: Final answer
    x = 825,681,667.81

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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.