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Finding the Third Proportional to 20,437 and 31,249.50

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Solution

The third proportional to 20,437 and 31,249.50 is: 47,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437 : 31,249.50 = 31,249.50 : x
  2. Step 2: Convert to fraction form
    20,437/31,249.50 = 31,249.50/x
  3. Step 3: Cross multiply
    20,437x = 31,249.50 × 31,249.50
  4. Step 4: Simplify right side
    20,437x = 976,531,250.25
  5. Step 5: Solve for x
    x = 976,531,250.25/20,437
  6. Step 6: Final answer
    x = 47,782.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.