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Finding the Third Proportional to 628,847.72 and 1,357,282.41

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Solution

The third proportional to 628,847.72 and 1,357,282.41 is: 2,929,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,847.72 : 1,357,282.41 = 1,357,282.41 : x
  2. Step 2: Convert to fraction form
    628,847.72/1,357,282.41 = 1,357,282.41/x
  3. Step 3: Cross multiply
    628,847.72x = 1,357,282.41 × 1,357,282.41
  4. Step 4: Simplify right side
    628,847.72x = 1,842,215,530,315.79
  5. Step 5: Solve for x
    x = 1,842,215,530,315.79/628,847.72
  6. Step 6: Final answer
    x = 2,929,509.76

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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.