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Finding the Third Proportional to 378,538.50 and 581,839.50

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Solution

The third proportional to 378,538.50 and 581,839.50 is: 894,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,538.50 : 581,839.50 = 581,839.50 : x
  2. Step 2: Convert to fraction form
    378,538.50/581,839.50 = 581,839.50/x
  3. Step 3: Cross multiply
    378,538.50x = 581,839.50 × 581,839.50
  4. Step 4: Simplify right side
    378,538.50x = 338,537,203,760.25
  5. Step 5: Solve for x
    x = 338,537,203,760.25/378,538.50
  6. Step 6: Final answer
    x = 894,327.01

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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.