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Finding the Third Proportional to 404,150.77 and 561,939.40

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Solution

The third proportional to 404,150.77 and 561,939.40 is: 781,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,150.77 : 561,939.40 = 561,939.40 : x
  2. Step 2: Convert to fraction form
    404,150.77/561,939.40 = 561,939.40/x
  3. Step 3: Cross multiply
    404,150.77x = 561,939.40 × 561,939.40
  4. Step 4: Simplify right side
    404,150.77x = 315,775,887,516.30
  5. Step 5: Solve for x
    x = 315,775,887,516.30/404,150.77
  6. Step 6: Final answer
    x = 781,331.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.