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Finding the Third Proportional to 437,890 and 659,966

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Solution

The third proportional to 437,890 and 659,966 is: 994,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,890 : 659,966 = 659,966 : x
  2. Step 2: Convert to fraction form
    437,890/659,966 = 659,966/x
  3. Step 3: Cross multiply
    437,890x = 659,966 × 659,966
  4. Step 4: Simplify right side
    437,890x = 435,555,121,156
  5. Step 5: Solve for x
    x = 435,555,121,156/437,890
  6. Step 6: Final answer
    x = 994,667.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.