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Finding the Third Proportional to 19,865.25 and 30,971.11

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Solution

The third proportional to 19,865.25 and 30,971.11 is: 48,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.25 : 30,971.11 = 30,971.11 : x
  2. Step 2: Convert to fraction form
    19,865.25/30,971.11 = 30,971.11/x
  3. Step 3: Cross multiply
    19,865.25x = 30,971.11 × 30,971.11
  4. Step 4: Simplify right side
    19,865.25x = 959,209,615.92
  5. Step 5: Solve for x
    x = 959,209,615.92/19,865.25
  6. Step 6: Final answer
    x = 48,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.