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Finding the Third Proportional to 263,406 and 418,437

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Solution

The third proportional to 263,406 and 418,437 is: 664,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,406 : 418,437 = 418,437 : x
  2. Step 2: Convert to fraction form
    263,406/418,437 = 418,437/x
  3. Step 3: Cross multiply
    263,406x = 418,437 × 418,437
  4. Step 4: Simplify right side
    263,406x = 175,089,522,969
  5. Step 5: Solve for x
    x = 175,089,522,969/263,406
  6. Step 6: Final answer
    x = 664,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.