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Finding the Third Proportional to 276,796.13 and 413,749.69

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Solution

The third proportional to 276,796.13 and 413,749.69 is: 618,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,796.13 : 413,749.69 = 413,749.69 : x
  2. Step 2: Convert to fraction form
    276,796.13/413,749.69 = 413,749.69/x
  3. Step 3: Cross multiply
    276,796.13x = 413,749.69 × 413,749.69
  4. Step 4: Simplify right side
    276,796.13x = 171,188,803,906.35
  5. Step 5: Solve for x
    x = 171,188,803,906.35/276,796.13
  6. Step 6: Final answer
    x = 618,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.