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Finding the Third Proportional to 371,271 and 809,205

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Solution

The third proportional to 371,271 and 809,205 is: 1,763,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,271 : 809,205 = 809,205 : x
  2. Step 2: Convert to fraction form
    371,271/809,205 = 809,205/x
  3. Step 3: Cross multiply
    371,271x = 809,205 × 809,205
  4. Step 4: Simplify right side
    371,271x = 654,812,732,025
  5. Step 5: Solve for x
    x = 654,812,732,025/371,271
  6. Step 6: Final answer
    x = 1,763,705.57

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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.