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Finding the Third Proportional to 221,591 and 487,462

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Solution

The third proportional to 221,591 and 487,462 is: 1,072,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,591 : 487,462 = 487,462 : x
  2. Step 2: Convert to fraction form
    221,591/487,462 = 487,462/x
  3. Step 3: Cross multiply
    221,591x = 487,462 × 487,462
  4. Step 4: Simplify right side
    221,591x = 237,619,201,444
  5. Step 5: Solve for x
    x = 237,619,201,444/221,591
  6. Step 6: Final answer
    x = 1,072,332.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.