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Finding the Third Proportional to 172,872 and 229,764

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Solution

The third proportional to 172,872 and 229,764 is: 305,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,872 : 229,764 = 229,764 : x
  2. Step 2: Convert to fraction form
    172,872/229,764 = 229,764/x
  3. Step 3: Cross multiply
    172,872x = 229,764 × 229,764
  4. Step 4: Simplify right side
    172,872x = 52,791,495,696
  5. Step 5: Solve for x
    x = 52,791,495,696/172,872
  6. Step 6: Final answer
    x = 305,379.10

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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.