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Finding the Third Proportional to 102,515 and 221,878

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Solution

The third proportional to 102,515 and 221,878 is: 480,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515 : 221,878 = 221,878 : x
  2. Step 2: Convert to fraction form
    102,515/221,878 = 221,878/x
  3. Step 3: Cross multiply
    102,515x = 221,878 × 221,878
  4. Step 4: Simplify right side
    102,515x = 49,229,846,884
  5. Step 5: Solve for x
    x = 49,229,846,884/102,515
  6. Step 6: Final answer
    x = 480,220.91

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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.