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Finding the Third Proportional to 290,459 and 638,194

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Solution

The third proportional to 290,459 and 638,194 is: 1,402,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,459 : 638,194 = 638,194 : x
  2. Step 2: Convert to fraction form
    290,459/638,194 = 638,194/x
  3. Step 3: Cross multiply
    290,459x = 638,194 × 638,194
  4. Step 4: Simplify right side
    290,459x = 407,291,581,636
  5. Step 5: Solve for x
    x = 407,291,581,636/290,459
  6. Step 6: Final answer
    x = 1,402,234.33

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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.