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Finding the Third Proportional to 64,149.47 and 100,629.84

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Solution

The third proportional to 64,149.47 and 100,629.84 is: 157,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,149.47 : 100,629.84 = 100,629.84 : x
  2. Step 2: Convert to fraction form
    64,149.47/100,629.84 = 100,629.84/x
  3. Step 3: Cross multiply
    64,149.47x = 100,629.84 × 100,629.84
  4. Step 4: Simplify right side
    64,149.47x = 10,126,365,453.15
  5. Step 5: Solve for x
    x = 10,126,365,453.15/64,149.47
  6. Step 6: Final answer
    x = 157,855.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.