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Finding the Third Proportional to 290,606 and 444,361

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Solution

The third proportional to 290,606 and 444,361 is: 679,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,606 : 444,361 = 444,361 : x
  2. Step 2: Convert to fraction form
    290,606/444,361 = 444,361/x
  3. Step 3: Cross multiply
    290,606x = 444,361 × 444,361
  4. Step 4: Simplify right side
    290,606x = 197,456,698,321
  5. Step 5: Solve for x
    x = 197,456,698,321/290,606
  6. Step 6: Final answer
    x = 679,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.