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Finding the Third Proportional to 263,507 and 621,821

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Solution

The third proportional to 263,507 and 621,821 is: 1,467,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,507 : 621,821 = 621,821 : x
  2. Step 2: Convert to fraction form
    263,507/621,821 = 621,821/x
  3. Step 3: Cross multiply
    263,507x = 621,821 × 621,821
  4. Step 4: Simplify right side
    263,507x = 386,661,356,041
  5. Step 5: Solve for x
    x = 386,661,356,041/263,507
  6. Step 6: Final answer
    x = 1,467,366.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.