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Finding the Third Proportional to 290,608 and 444,364

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Solution

The third proportional to 290,608 and 444,364 is: 679,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,608 : 444,364 = 444,364 : x
  2. Step 2: Convert to fraction form
    290,608/444,364 = 444,364/x
  3. Step 3: Cross multiply
    290,608x = 444,364 × 444,364
  4. Step 4: Simplify right side
    290,608x = 197,459,364,496
  5. Step 5: Solve for x
    x = 197,459,364,496/290,608
  6. Step 6: Final answer
    x = 679,469.82

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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.