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Finding the Third Proportional to 224,226 and 492,759

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Solution

The third proportional to 224,226 and 492,759 is: 1,082,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,226 : 492,759 = 492,759 : x
  2. Step 2: Convert to fraction form
    224,226/492,759 = 492,759/x
  3. Step 3: Cross multiply
    224,226x = 492,759 × 492,759
  4. Step 4: Simplify right side
    224,226x = 242,811,432,081
  5. Step 5: Solve for x
    x = 242,811,432,081/224,226
  6. Step 6: Final answer
    x = 1,082,887.05

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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.