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Finding the Third Proportional to 128,464.50 and 270,778.50

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Solution

The third proportional to 128,464.50 and 270,778.50 is: 570,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,464.50 : 270,778.50 = 270,778.50 : x
  2. Step 2: Convert to fraction form
    128,464.50/270,778.50 = 270,778.50/x
  3. Step 3: Cross multiply
    128,464.50x = 270,778.50 × 270,778.50
  4. Step 4: Simplify right side
    128,464.50x = 73,320,996,062.25
  5. Step 5: Solve for x
    x = 73,320,996,062.25/128,464.50
  6. Step 6: Final answer
    x = 570,749.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.