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Finding the Third Proportional to 371,406 and 813,800

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Solution

The third proportional to 371,406 and 813,800 is: 1,783,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,406 : 813,800 = 813,800 : x
  2. Step 2: Convert to fraction form
    371,406/813,800 = 813,800/x
  3. Step 3: Cross multiply
    371,406x = 813,800 × 813,800
  4. Step 4: Simplify right side
    371,406x = 662,270,440,000
  5. Step 5: Solve for x
    x = 662,270,440,000/371,406
  6. Step 6: Final answer
    x = 1,783,144.16

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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.