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Finding the Third Proportional to 1,215,911.25 and 2,645,871.75

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Solution

The third proportional to 1,215,911.25 and 2,645,871.75 is: 5,757,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,911.25 : 2,645,871.75 = 2,645,871.75 : x
  2. Step 2: Convert to fraction form
    1,215,911.25/2,645,871.75 = 2,645,871.75/x
  3. Step 3: Cross multiply
    1,215,911.25x = 2,645,871.75 × 2,645,871.75
  4. Step 4: Simplify right side
    1,215,911.25x = 7,000,637,317,448.06
  5. Step 5: Solve for x
    x = 7,000,637,317,448.06/1,215,911.25
  6. Step 6: Final answer
    x = 5,757,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.