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Finding the Third Proportional to 25,027.50 and 33,783

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Solution

The third proportional to 25,027.50 and 33,783 is: 45,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,027.50 : 33,783 = 33,783 : x
  2. Step 2: Convert to fraction form
    25,027.50/33,783 = 33,783/x
  3. Step 3: Cross multiply
    25,027.50x = 33,783 × 33,783
  4. Step 4: Simplify right side
    25,027.50x = 1,141,291,089
  5. Step 5: Solve for x
    x = 1,141,291,089/25,027.50
  6. Step 6: Final answer
    x = 45,601.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.