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Finding the Third Proportional to 215,617 and 468,530

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Solution

The third proportional to 215,617 and 468,530 is: 1,018,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,617 : 468,530 = 468,530 : x
  2. Step 2: Convert to fraction form
    215,617/468,530 = 468,530/x
  3. Step 3: Cross multiply
    215,617x = 468,530 × 468,530
  4. Step 4: Simplify right side
    215,617x = 219,520,360,900
  5. Step 5: Solve for x
    x = 219,520,360,900/215,617
  6. Step 6: Final answer
    x = 1,018,103.21

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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.