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Finding the Third Proportional to 290,823 and 623,766

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Solution

The third proportional to 290,823 and 623,766 is: 1,337,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,823 : 623,766 = 623,766 : x
  2. Step 2: Convert to fraction form
    290,823/623,766 = 623,766/x
  3. Step 3: Cross multiply
    290,823x = 623,766 × 623,766
  4. Step 4: Simplify right side
    290,823x = 389,084,022,756
  5. Step 5: Solve for x
    x = 389,084,022,756/290,823
  6. Step 6: Final answer
    x = 1,337,872.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.