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Finding the Third Proportional to 371,271 and 809,202

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Solution

The third proportional to 371,271 and 809,202 is: 1,763,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,271 : 809,202 = 809,202 : x
  2. Step 2: Convert to fraction form
    371,271/809,202 = 809,202/x
  3. Step 3: Cross multiply
    371,271x = 809,202 × 809,202
  4. Step 4: Simplify right side
    371,271x = 654,807,876,804
  5. Step 5: Solve for x
    x = 654,807,876,804/371,271
  6. Step 6: Final answer
    x = 1,763,692.50

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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.