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Finding the Third Proportional to 666,778.50 and 1,440,169.50

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Solution

The third proportional to 666,778.50 and 1,440,169.50 is: 3,110,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,778.50 : 1,440,169.50 = 1,440,169.50 : x
  2. Step 2: Convert to fraction form
    666,778.50/1,440,169.50 = 1,440,169.50/x
  3. Step 3: Cross multiply
    666,778.50x = 1,440,169.50 × 1,440,169.50
  4. Step 4: Simplify right side
    666,778.50x = 2,074,088,188,730.25
  5. Step 5: Solve for x
    x = 2,074,088,188,730.25/666,778.50
  6. Step 6: Final answer
    x = 3,110,610.48

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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.