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Finding the Third Proportional to 400,658 and 931,661

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Solution

The third proportional to 400,658 and 931,661 is: 2,166,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658 : 931,661 = 931,661 : x
  2. Step 2: Convert to fraction form
    400,658/931,661 = 931,661/x
  3. Step 3: Cross multiply
    400,658x = 931,661 × 931,661
  4. Step 4: Simplify right side
    400,658x = 867,992,218,921
  5. Step 5: Solve for x
    x = 867,992,218,921/400,658
  6. Step 6: Final answer
    x = 2,166,416.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.