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Finding the Third Proportional to 102,138 and 220,672

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Solution

The third proportional to 102,138 and 220,672 is: 476,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138 : 220,672 = 220,672 : x
  2. Step 2: Convert to fraction form
    102,138/220,672 = 220,672/x
  3. Step 3: Cross multiply
    102,138x = 220,672 × 220,672
  4. Step 4: Simplify right side
    102,138x = 48,696,131,584
  5. Step 5: Solve for x
    x = 48,696,131,584/102,138
  6. Step 6: Final answer
    x = 476,768.02

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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.