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Finding the Third Proportional to 290,899 and 449,315

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Solution

The third proportional to 290,899 and 449,315 is: 694,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,899 : 449,315 = 449,315 : x
  2. Step 2: Convert to fraction form
    290,899/449,315 = 449,315/x
  3. Step 3: Cross multiply
    290,899x = 449,315 × 449,315
  4. Step 4: Simplify right side
    290,899x = 201,883,969,225
  5. Step 5: Solve for x
    x = 201,883,969,225/290,899
  6. Step 6: Final answer
    x = 694,000.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.