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Finding the Third Proportional to 172,503 and 261,866.25

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Solution

The third proportional to 172,503 and 261,866.25 is: 397,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,503 : 261,866.25 = 261,866.25 : x
  2. Step 2: Convert to fraction form
    172,503/261,866.25 = 261,866.25/x
  3. Step 3: Cross multiply
    172,503x = 261,866.25 × 261,866.25
  4. Step 4: Simplify right side
    172,503x = 68,573,932,889.06
  5. Step 5: Solve for x
    x = 68,573,932,889.06/172,503
  6. Step 6: Final answer
    x = 397,523.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.