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Finding the Third Proportional to 371,404 and 813,796

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Solution

The third proportional to 371,404 and 813,796 is: 1,783,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,404 : 813,796 = 813,796 : x
  2. Step 2: Convert to fraction form
    371,404/813,796 = 813,796/x
  3. Step 3: Cross multiply
    371,404x = 813,796 × 813,796
  4. Step 4: Simplify right side
    371,404x = 662,263,929,616
  5. Step 5: Solve for x
    x = 662,263,929,616/371,404
  6. Step 6: Final answer
    x = 1,783,136.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.