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Finding the Third Proportional to 666,783 and 1,440,188

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Solution

The third proportional to 666,783 and 1,440,188 is: 3,110,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,783 : 1,440,188 = 1,440,188 : x
  2. Step 2: Convert to fraction form
    666,783/1,440,188 = 1,440,188/x
  3. Step 3: Cross multiply
    666,783x = 1,440,188 × 1,440,188
  4. Step 4: Simplify right side
    666,783x = 2,074,141,475,344
  5. Step 5: Solve for x
    x = 2,074,141,475,344/666,783
  6. Step 6: Final answer
    x = 3,110,669.40

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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.