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Finding the Third Proportional to 128,163.52 and 280,490.34

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Solution

The third proportional to 128,163.52 and 280,490.34 is: 613,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,163.52 : 280,490.34 = 280,490.34 : x
  2. Step 2: Convert to fraction form
    128,163.52/280,490.34 = 280,490.34/x
  3. Step 3: Cross multiply
    128,163.52x = 280,490.34 × 280,490.34
  4. Step 4: Simplify right side
    128,163.52x = 78,674,832,936.99
  5. Step 5: Solve for x
    x = 78,674,832,936.99/128,163.52
  6. Step 6: Final answer
    x = 613,862.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.