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Finding the Third Proportional to 1,290,619 and 2,783,295

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Solution

The third proportional to 1,290,619 and 2,783,295 is: 6,002,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,619 : 2,783,295 = 2,783,295 : x
  2. Step 2: Convert to fraction form
    1,290,619/2,783,295 = 2,783,295/x
  3. Step 3: Cross multiply
    1,290,619x = 2,783,295 × 2,783,295
  4. Step 4: Simplify right side
    1,290,619x = 7,746,731,057,025
  5. Step 5: Solve for x
    x = 7,746,731,057,025/1,290,619
  6. Step 6: Final answer
    x = 6,002,337.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.