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Finding the Third Proportional to 666,759 and 1,440,138

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Solution

The third proportional to 666,759 and 1,440,138 is: 3,110,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,759 : 1,440,138 = 1,440,138 : x
  2. Step 2: Convert to fraction form
    666,759/1,440,138 = 1,440,138/x
  3. Step 3: Cross multiply
    666,759x = 1,440,138 × 1,440,138
  4. Step 4: Simplify right side
    666,759x = 2,073,997,459,044
  5. Step 5: Solve for x
    x = 2,073,997,459,044/666,759
  6. Step 6: Final answer
    x = 3,110,565.38

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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.