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Finding the Third Proportional to 654,867 and 1,405,413

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Solution

The third proportional to 654,867 and 1,405,413 is: 3,016,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,867 : 1,405,413 = 1,405,413 : x
  2. Step 2: Convert to fraction form
    654,867/1,405,413 = 1,405,413/x
  3. Step 3: Cross multiply
    654,867x = 1,405,413 × 1,405,413
  4. Step 4: Simplify right side
    654,867x = 1,975,185,700,569
  5. Step 5: Solve for x
    x = 1,975,185,700,569/654,867
  6. Step 6: Final answer
    x = 3,016,163.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.