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Finding the Third Proportional to 290,399 and 439,977

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Solution

The third proportional to 290,399 and 439,977 is: 666,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,399 : 439,977 = 439,977 : x
  2. Step 2: Convert to fraction form
    290,399/439,977 = 439,977/x
  3. Step 3: Cross multiply
    290,399x = 439,977 × 439,977
  4. Step 4: Simplify right side
    290,399x = 193,579,760,529
  5. Step 5: Solve for x
    x = 193,579,760,529/290,399
  6. Step 6: Final answer
    x = 666,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.