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Finding the Third Proportional to 371,188 and 809,288

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Solution

The third proportional to 371,188 and 809,288 is: 1,764,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,188 : 809,288 = 809,288 : x
  2. Step 2: Convert to fraction form
    371,188/809,288 = 809,288/x
  3. Step 3: Cross multiply
    371,188x = 809,288 × 809,288
  4. Step 4: Simplify right side
    371,188x = 654,947,066,944
  5. Step 5: Solve for x
    x = 654,947,066,944/371,188
  6. Step 6: Final answer
    x = 1,764,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.