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Finding the Third Proportional to 290,168 and 637,360

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Solution

The third proportional to 290,168 and 637,360 is: 1,399,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,168 : 637,360 = 637,360 : x
  2. Step 2: Convert to fraction form
    290,168/637,360 = 637,360/x
  3. Step 3: Cross multiply
    290,168x = 637,360 × 637,360
  4. Step 4: Simplify right side
    290,168x = 406,227,769,600
  5. Step 5: Solve for x
    x = 406,227,769,600/290,168
  6. Step 6: Final answer
    x = 1,399,974.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.