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Finding the Third Proportional to 666,786 and 1,440,195

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Solution

The third proportional to 666,786 and 1,440,195 is: 3,110,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,786 : 1,440,195 = 1,440,195 : x
  2. Step 2: Convert to fraction form
    666,786/1,440,195 = 1,440,195/x
  3. Step 3: Cross multiply
    666,786x = 1,440,195 × 1,440,195
  4. Step 4: Simplify right side
    666,786x = 2,074,161,638,025
  5. Step 5: Solve for x
    x = 2,074,161,638,025/666,786
  6. Step 6: Final answer
    x = 3,110,685.64

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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.