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Finding the Third Proportional to 20,693.75 and 31,707.75

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Solution

The third proportional to 20,693.75 and 31,707.75 is: 48,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.75 : 31,707.75 = 31,707.75 : x
  2. Step 2: Convert to fraction form
    20,693.75/31,707.75 = 31,707.75/x
  3. Step 3: Cross multiply
    20,693.75x = 31,707.75 × 31,707.75
  4. Step 4: Simplify right side
    20,693.75x = 1,005,381,410.06
  5. Step 5: Solve for x
    x = 1,005,381,410.06/20,693.75
  6. Step 6: Final answer
    x = 48,583.82

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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.