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Finding the Third Proportional to 278,538.75 and 590,429.25

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Solution

The third proportional to 278,538.75 and 590,429.25 is: 1,251,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,538.75 : 590,429.25 = 590,429.25 : x
  2. Step 2: Convert to fraction form
    278,538.75/590,429.25 = 590,429.25/x
  3. Step 3: Cross multiply
    278,538.75x = 590,429.25 × 590,429.25
  4. Step 4: Simplify right side
    278,538.75x = 348,606,699,255.56
  5. Step 5: Solve for x
    x = 348,606,699,255.56/278,538.75
  6. Step 6: Final answer
    x = 1,251,555.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.