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Finding the Third Proportional to 20,765,287.50 and 32,236,270.50

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Solution

The third proportional to 20,765,287.50 and 32,236,270.50 is: 50,043,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,287.50 : 32,236,270.50 = 32,236,270.50 : x
  2. Step 2: Convert to fraction form
    20,765,287.50/32,236,270.50 = 32,236,270.50/x
  3. Step 3: Cross multiply
    20,765,287.50x = 32,236,270.50 × 32,236,270.50
  4. Step 4: Simplify right side
    20,765,287.50x = 1,039,177,135,749,170.25
  5. Step 5: Solve for x
    x = 1,039,177,135,749,170.25/20,765,287.50
  6. Step 6: Final answer
    x = 50,043,956.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.