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Finding the Third Proportional to 221,277 and 471,510

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Solution

The third proportional to 221,277 and 471,510 is: 1,004,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,277 : 471,510 = 471,510 : x
  2. Step 2: Convert to fraction form
    221,277/471,510 = 471,510/x
  3. Step 3: Cross multiply
    221,277x = 471,510 × 471,510
  4. Step 4: Simplify right side
    221,277x = 222,321,680,100
  5. Step 5: Solve for x
    x = 222,321,680,100/221,277
  6. Step 6: Final answer
    x = 1,004,721.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.