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Finding the Third Proportional to 171,309 and 261,008.50

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Solution

The third proportional to 171,309 and 261,008.50 is: 397,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,309 : 261,008.50 = 261,008.50 : x
  2. Step 2: Convert to fraction form
    171,309/261,008.50 = 261,008.50/x
  3. Step 3: Cross multiply
    171,309x = 261,008.50 × 261,008.50
  4. Step 4: Simplify right side
    171,309x = 68,125,437,072.25
  5. Step 5: Solve for x
    x = 68,125,437,072.25/171,309
  6. Step 6: Final answer
    x = 397,675.76

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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.