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Finding the Third Proportional to 8,420,382 and 18,256,833

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Solution

The third proportional to 8,420,382 and 18,256,833 is: 39,583,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420,382 : 18,256,833 = 18,256,833 : x
  2. Step 2: Convert to fraction form
    8,420,382/18,256,833 = 18,256,833/x
  3. Step 3: Cross multiply
    8,420,382x = 18,256,833 × 18,256,833
  4. Step 4: Simplify right side
    8,420,382x = 333,311,951,189,889
  5. Step 5: Solve for x
    x = 333,311,951,189,889/8,420,382
  6. Step 6: Final answer
    x = 39,583,946.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.