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Finding the Third Proportional to 224,566 and 486,509

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Solution

The third proportional to 224,566 and 486,509 is: 1,053,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566 : 486,509 = 486,509 : x
  2. Step 2: Convert to fraction form
    224,566/486,509 = 486,509/x
  3. Step 3: Cross multiply
    224,566x = 486,509 × 486,509
  4. Step 4: Simplify right side
    224,566x = 236,691,007,081
  5. Step 5: Solve for x
    x = 236,691,007,081/224,566
  6. Step 6: Final answer
    x = 1,053,993.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.