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Finding the Third Proportional to 477,256 and 668,958

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Solution

The third proportional to 477,256 and 668,958 is: 937,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,256 : 668,958 = 668,958 : x
  2. Step 2: Convert to fraction form
    477,256/668,958 = 668,958/x
  3. Step 3: Cross multiply
    477,256x = 668,958 × 668,958
  4. Step 4: Simplify right side
    477,256x = 447,504,805,764
  5. Step 5: Solve for x
    x = 447,504,805,764/477,256
  6. Step 6: Final answer
    x = 937,661.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.