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Finding the Third Proportional to 421,669 and 921,975

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Solution

The third proportional to 421,669 and 921,975 is: 2,015,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669 : 921,975 = 921,975 : x
  2. Step 2: Convert to fraction form
    421,669/921,975 = 921,975/x
  3. Step 3: Cross multiply
    421,669x = 921,975 × 921,975
  4. Step 4: Simplify right side
    421,669x = 850,037,900,625
  5. Step 5: Solve for x
    x = 850,037,900,625/421,669
  6. Step 6: Final answer
    x = 2,015,889.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.