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Finding the Third Proportional to 10,394.50 and 19,831

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Solution

The third proportional to 10,394.50 and 19,831 is: 37,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.50 : 19,831 = 19,831 : x
  2. Step 2: Convert to fraction form
    10,394.50/19,831 = 19,831/x
  3. Step 3: Cross multiply
    10,394.50x = 19,831 × 19,831
  4. Step 4: Simplify right side
    10,394.50x = 393,268,561
  5. Step 5: Solve for x
    x = 393,268,561/10,394.50
  6. Step 6: Final answer
    x = 37,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.