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Finding the Third Proportional to 666,108 and 902,932

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Solution

The third proportional to 666,108 and 902,932 is: 1,223,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,108 : 902,932 = 902,932 : x
  2. Step 2: Convert to fraction form
    666,108/902,932 = 902,932/x
  3. Step 3: Cross multiply
    666,108x = 902,932 × 902,932
  4. Step 4: Simplify right side
    666,108x = 815,286,196,624
  5. Step 5: Solve for x
    x = 815,286,196,624/666,108
  6. Step 6: Final answer
    x = 1,223,954.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.