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Finding the Third Proportional to 319,780 and 461,991

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Solution

The third proportional to 319,780 and 461,991 is: 667,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,780 : 461,991 = 461,991 : x
  2. Step 2: Convert to fraction form
    319,780/461,991 = 461,991/x
  3. Step 3: Cross multiply
    319,780x = 461,991 × 461,991
  4. Step 4: Simplify right side
    319,780x = 213,435,684,081
  5. Step 5: Solve for x
    x = 213,435,684,081/319,780
  6. Step 6: Final answer
    x = 667,445.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.