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Finding the Third Proportional to 290,328 and 444,136

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Solution

The third proportional to 290,328 and 444,136 is: 679,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,328 : 444,136 = 444,136 : x
  2. Step 2: Convert to fraction form
    290,328/444,136 = 444,136/x
  3. Step 3: Cross multiply
    290,328x = 444,136 × 444,136
  4. Step 4: Simplify right side
    290,328x = 197,256,786,496
  5. Step 5: Solve for x
    x = 197,256,786,496/290,328
  6. Step 6: Final answer
    x = 679,427.36

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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.