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Finding the Third Proportional to 278,004.94 and 610,138.13

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Solution

The third proportional to 278,004.94 and 610,138.13 is: 1,339,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004.94 : 610,138.13 = 610,138.13 : x
  2. Step 2: Convert to fraction form
    278,004.94/610,138.13 = 610,138.13/x
  3. Step 3: Cross multiply
    278,004.94x = 610,138.13 × 610,138.13
  4. Step 4: Simplify right side
    278,004.94x = 372,268,531,578.52
  5. Step 5: Solve for x
    x = 372,268,531,578.52/278,004.94
  6. Step 6: Final answer
    x = 1,339,071.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.