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Finding the Third Proportional to 1,289,260 and 2,684,471

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Solution

The third proportional to 1,289,260 and 2,684,471 is: 5,589,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,260 : 2,684,471 = 2,684,471 : x
  2. Step 2: Convert to fraction form
    1,289,260/2,684,471 = 2,684,471/x
  3. Step 3: Cross multiply
    1,289,260x = 2,684,471 × 2,684,471
  4. Step 4: Simplify right side
    1,289,260x = 7,206,384,549,841
  5. Step 5: Solve for x
    x = 7,206,384,549,841/1,289,260
  6. Step 6: Final answer
    x = 5,589,551.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.