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Finding the Third Proportional to 424,940 and 978,617

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Solution

The third proportional to 424,940 and 978,617 is: 2,253,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,940 : 978,617 = 978,617 : x
  2. Step 2: Convert to fraction form
    424,940/978,617 = 978,617/x
  3. Step 3: Cross multiply
    424,940x = 978,617 × 978,617
  4. Step 4: Simplify right side
    424,940x = 957,691,232,689
  5. Step 5: Solve for x
    x = 957,691,232,689/424,940
  6. Step 6: Final answer
    x = 2,253,709.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.