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Finding the Third Proportional to 225,813 and 487,266

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Solution

The third proportional to 225,813 and 487,266 is: 1,051,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,813 : 487,266 = 487,266 : x
  2. Step 2: Convert to fraction form
    225,813/487,266 = 487,266/x
  3. Step 3: Cross multiply
    225,813x = 487,266 × 487,266
  4. Step 4: Simplify right side
    225,813x = 237,428,154,756
  5. Step 5: Solve for x
    x = 237,428,154,756/225,813
  6. Step 6: Final answer
    x = 1,051,437.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.