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Finding the Third Proportional to 404,155.13 and 561,945.38

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Solution

The third proportional to 404,155.13 and 561,945.38 is: 781,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,155.13 : 561,945.38 = 561,945.38 : x
  2. Step 2: Convert to fraction form
    404,155.13/561,945.38 = 561,945.38/x
  3. Step 3: Cross multiply
    404,155.13x = 561,945.38 × 561,945.38
  4. Step 4: Simplify right side
    404,155.13x = 315,782,604,483.89
  5. Step 5: Solve for x
    x = 315,782,604,483.89/404,155.13
  6. Step 6: Final answer
    x = 781,340.10

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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.