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Finding the Third Proportional to 128,850.75 and 276,154.31

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Solution

The third proportional to 128,850.75 and 276,154.31 is: 591,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850.75 : 276,154.31 = 276,154.31 : x
  2. Step 2: Convert to fraction form
    128,850.75/276,154.31 = 276,154.31/x
  3. Step 3: Cross multiply
    128,850.75x = 276,154.31 × 276,154.31
  4. Step 4: Simplify right side
    128,850.75x = 76,261,204,312.35
  5. Step 5: Solve for x
    x = 76,261,204,312.35/128,850.75
  6. Step 6: Final answer
    x = 591,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.