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Finding the Third Proportional to 305,465 and 638,749

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Solution

The third proportional to 305,465 and 638,749 is: 1,335,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,465 : 638,749 = 638,749 : x
  2. Step 2: Convert to fraction form
    305,465/638,749 = 638,749/x
  3. Step 3: Cross multiply
    305,465x = 638,749 × 638,749
  4. Step 4: Simplify right side
    305,465x = 408,000,285,001
  5. Step 5: Solve for x
    x = 408,000,285,001/305,465
  6. Step 6: Final answer
    x = 1,335,669.50

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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.