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Finding the Third Proportional to 102,138 and 219,834

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Solution

The third proportional to 102,138 and 219,834 is: 473,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138 : 219,834 = 219,834 : x
  2. Step 2: Convert to fraction form
    102,138/219,834 = 219,834/x
  3. Step 3: Cross multiply
    102,138x = 219,834 × 219,834
  4. Step 4: Simplify right side
    102,138x = 48,326,987,556
  5. Step 5: Solve for x
    x = 48,326,987,556/102,138
  6. Step 6: Final answer
    x = 473,153.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.