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Finding the Third Proportional to 383,500 and 806,660

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Solution

The third proportional to 383,500 and 806,660 is: 1,696,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,500 : 806,660 = 806,660 : x
  2. Step 2: Convert to fraction form
    383,500/806,660 = 806,660/x
  3. Step 3: Cross multiply
    383,500x = 806,660 × 806,660
  4. Step 4: Simplify right side
    383,500x = 650,700,355,600
  5. Step 5: Solve for x
    x = 650,700,355,600/383,500
  6. Step 6: Final answer
    x = 1,696,741.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.