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Finding the Third Proportional to 8,301 and 19,445.25

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Solution

The third proportional to 8,301 and 19,445.25 is: 45,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301 : 19,445.25 = 19,445.25 : x
  2. Step 2: Convert to fraction form
    8,301/19,445.25 = 19,445.25/x
  3. Step 3: Cross multiply
    8,301x = 19,445.25 × 19,445.25
  4. Step 4: Simplify right side
    8,301x = 378,117,747.56
  5. Step 5: Solve for x
    x = 378,117,747.56/8,301
  6. Step 6: Final answer
    x = 45,550.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.