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Finding the Third Proportional to 378,977.06 and 557,374.69

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Solution

The third proportional to 378,977.06 and 557,374.69 is: 819,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,977.06 : 557,374.69 = 557,374.69 : x
  2. Step 2: Convert to fraction form
    378,977.06/557,374.69 = 557,374.69/x
  3. Step 3: Cross multiply
    378,977.06x = 557,374.69 × 557,374.69
  4. Step 4: Simplify right side
    378,977.06x = 310,666,542,265.72
  5. Step 5: Solve for x
    x = 310,666,542,265.72/378,977.06
  6. Step 6: Final answer
    x = 819,750.25

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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.