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Finding the Third Proportional to 290,602 and 444,355

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Solution

The third proportional to 290,602 and 444,355 is: 679,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,602 : 444,355 = 444,355 : x
  2. Step 2: Convert to fraction form
    290,602/444,355 = 444,355/x
  3. Step 3: Cross multiply
    290,602x = 444,355 × 444,355
  4. Step 4: Simplify right side
    290,602x = 197,451,366,025
  5. Step 5: Solve for x
    x = 197,451,366,025/290,602
  6. Step 6: Final answer
    x = 679,456.32

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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.