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Finding the Third Proportional to 408,980 and 837,792

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Solution

The third proportional to 408,980 and 837,792 is: 1,716,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,980 : 837,792 = 837,792 : x
  2. Step 2: Convert to fraction form
    408,980/837,792 = 837,792/x
  3. Step 3: Cross multiply
    408,980x = 837,792 × 837,792
  4. Step 4: Simplify right side
    408,980x = 701,895,435,264
  5. Step 5: Solve for x
    x = 701,895,435,264/408,980
  6. Step 6: Final answer
    x = 1,716,209.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.