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Finding the Third Proportional to 305,220 and 638,321

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Solution

The third proportional to 305,220 and 638,321 is: 1,334,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220 : 638,321 = 638,321 : x
  2. Step 2: Convert to fraction form
    305,220/638,321 = 638,321/x
  3. Step 3: Cross multiply
    305,220x = 638,321 × 638,321
  4. Step 4: Simplify right side
    305,220x = 407,453,699,041
  5. Step 5: Solve for x
    x = 407,453,699,041/305,220
  6. Step 6: Final answer
    x = 1,334,950.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.