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Finding the Third Proportional to 1,200,215 and 2,606,489

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Solution

The third proportional to 1,200,215 and 2,606,489 is: 5,660,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,215 : 2,606,489 = 2,606,489 : x
  2. Step 2: Convert to fraction form
    1,200,215/2,606,489 = 2,606,489/x
  3. Step 3: Cross multiply
    1,200,215x = 2,606,489 × 2,606,489
  4. Step 4: Simplify right side
    1,200,215x = 6,793,784,907,121
  5. Step 5: Solve for x
    x = 6,793,784,907,121/1,200,215
  6. Step 6: Final answer
    x = 5,660,473.25

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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.