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Finding the Third Proportional to 666,402 and 1,439,183

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Solution

The third proportional to 666,402 and 1,439,183 is: 3,108,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,402 : 1,439,183 = 1,439,183 : x
  2. Step 2: Convert to fraction form
    666,402/1,439,183 = 1,439,183/x
  3. Step 3: Cross multiply
    666,402x = 1,439,183 × 1,439,183
  4. Step 4: Simplify right side
    666,402x = 2,071,247,707,489
  5. Step 5: Solve for x
    x = 2,071,247,707,489/666,402
  6. Step 6: Final answer
    x = 3,108,105.48

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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.