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Finding the Third Proportional to 371,186 and 809,284

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Solution

The third proportional to 371,186 and 809,284 is: 1,764,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,186 : 809,284 = 809,284 : x
  2. Step 2: Convert to fraction form
    371,186/809,284 = 809,284/x
  3. Step 3: Cross multiply
    371,186x = 809,284 × 809,284
  4. Step 4: Simplify right side
    371,186x = 654,940,592,656
  5. Step 5: Solve for x
    x = 654,940,592,656/371,186
  6. Step 6: Final answer
    x = 1,764,453.92

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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.