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Finding the Third Proportional to 129,519 and 172,152

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Solution

The third proportional to 129,519 and 172,152 is: 228,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,519 : 172,152 = 172,152 : x
  2. Step 2: Convert to fraction form
    129,519/172,152 = 172,152/x
  3. Step 3: Cross multiply
    129,519x = 172,152 × 172,152
  4. Step 4: Simplify right side
    129,519x = 29,636,311,104
  5. Step 5: Solve for x
    x = 29,636,311,104/129,519
  6. Step 6: Final answer
    x = 228,818.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.