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Finding the Third Proportional to 378,961.50 and 557,350.50

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Solution

The third proportional to 378,961.50 and 557,350.50 is: 819,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,961.50 : 557,350.50 = 557,350.50 : x
  2. Step 2: Convert to fraction form
    378,961.50/557,350.50 = 557,350.50/x
  3. Step 3: Cross multiply
    378,961.50x = 557,350.50 × 557,350.50
  4. Step 4: Simplify right side
    378,961.50x = 310,639,579,850.25
  5. Step 5: Solve for x
    x = 310,639,579,850.25/378,961.50
  6. Step 6: Final answer
    x = 819,712.77

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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.