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Finding the Third Proportional to 290,616 and 444,377

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Solution

The third proportional to 290,616 and 444,377 is: 679,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,616 : 444,377 = 444,377 : x
  2. Step 2: Convert to fraction form
    290,616/444,377 = 444,377/x
  3. Step 3: Cross multiply
    290,616x = 444,377 × 444,377
  4. Step 4: Simplify right side
    290,616x = 197,470,918,129
  5. Step 5: Solve for x
    x = 197,470,918,129/290,616
  6. Step 6: Final answer
    x = 679,490.87

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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.