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Finding the Third Proportional to 172,698 and 229,545

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Solution

The third proportional to 172,698 and 229,545 is: 305,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,698 : 229,545 = 229,545 : x
  2. Step 2: Convert to fraction form
    172,698/229,545 = 229,545/x
  3. Step 3: Cross multiply
    172,698x = 229,545 × 229,545
  4. Step 4: Simplify right side
    172,698x = 52,690,907,025
  5. Step 5: Solve for x
    x = 52,690,907,025/172,698
  6. Step 6: Final answer
    x = 305,104.33

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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.