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Finding the Third Proportional to 102,609 and 154,211

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Solution

The third proportional to 102,609 and 154,211 is: 231,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609 : 154,211 = 154,211 : x
  2. Step 2: Convert to fraction form
    102,609/154,211 = 154,211/x
  3. Step 3: Cross multiply
    102,609x = 154,211 × 154,211
  4. Step 4: Simplify right side
    102,609x = 23,781,032,521
  5. Step 5: Solve for x
    x = 23,781,032,521/102,609
  6. Step 6: Final answer
    x = 231,763.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.