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Finding the Third Proportional to 666,828 and 1,380,312

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Solution

The third proportional to 666,828 and 1,380,312 is: 2,857,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,828 : 1,380,312 = 1,380,312 : x
  2. Step 2: Convert to fraction form
    666,828/1,380,312 = 1,380,312/x
  3. Step 3: Cross multiply
    666,828x = 1,380,312 × 1,380,312
  4. Step 4: Simplify right side
    666,828x = 1,905,261,217,344
  5. Step 5: Solve for x
    x = 1,905,261,217,344/666,828
  6. Step 6: Final answer
    x = 2,857,200.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.