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Finding the Third Proportional to 424,933 and 978,602

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Solution

The third proportional to 424,933 and 978,602 is: 2,253,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,933 : 978,602 = 978,602 : x
  2. Step 2: Convert to fraction form
    424,933/978,602 = 978,602/x
  3. Step 3: Cross multiply
    424,933x = 978,602 × 978,602
  4. Step 4: Simplify right side
    424,933x = 957,661,874,404
  5. Step 5: Solve for x
    x = 957,661,874,404/424,933
  6. Step 6: Final answer
    x = 2,253,677.34

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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.