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Finding the Third Proportional to 437,890 and 659,968

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Solution

The third proportional to 437,890 and 659,968 is: 994,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,890 : 659,968 = 659,968 : x
  2. Step 2: Convert to fraction form
    437,890/659,968 = 659,968/x
  3. Step 3: Cross multiply
    437,890x = 659,968 × 659,968
  4. Step 4: Simplify right side
    437,890x = 435,557,761,024
  5. Step 5: Solve for x
    x = 435,557,761,024/437,890
  6. Step 6: Final answer
    x = 994,673.92

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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.