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Finding the Third Proportional to 276,679.25 and 407,107

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Solution

The third proportional to 276,679.25 and 407,107 is: 599,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,679.25 : 407,107 = 407,107 : x
  2. Step 2: Convert to fraction form
    276,679.25/407,107 = 407,107/x
  3. Step 3: Cross multiply
    276,679.25x = 407,107 × 407,107
  4. Step 4: Simplify right side
    276,679.25x = 165,736,109,449
  5. Step 5: Solve for x
    x = 165,736,109,449/276,679.25
  6. Step 6: Final answer
    x = 599,018.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.