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Finding the Third Proportional to 378,558.56 and 581,867.30

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Solution

The third proportional to 378,558.56 and 581,867.30 is: 894,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,558.56 : 581,867.30 = 581,867.30 : x
  2. Step 2: Convert to fraction form
    378,558.56/581,867.30 = 581,867.30/x
  3. Step 3: Cross multiply
    378,558.56x = 581,867.30 × 581,867.30
  4. Step 4: Simplify right side
    378,558.56x = 338,569,551,172.62
  5. Step 5: Solve for x
    x = 338,569,551,172.62/378,558.56
  6. Step 6: Final answer
    x = 894,365.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.