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Finding the Third Proportional to 290,019 and 637,164

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Solution

The third proportional to 290,019 and 637,164 is: 1,399,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,019 : 637,164 = 637,164 : x
  2. Step 2: Convert to fraction form
    290,019/637,164 = 637,164/x
  3. Step 3: Cross multiply
    290,019x = 637,164 × 637,164
  4. Step 4: Simplify right side
    290,019x = 405,977,962,896
  5. Step 5: Solve for x
    x = 405,977,962,896/290,019
  6. Step 6: Final answer
    x = 1,399,832.30

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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.