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Finding the Third Proportional to 305,219 and 448,693

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Solution

The third proportional to 305,219 and 448,693 is: 659,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,219 : 448,693 = 448,693 : x
  2. Step 2: Convert to fraction form
    305,219/448,693 = 448,693/x
  3. Step 3: Cross multiply
    305,219x = 448,693 × 448,693
  4. Step 4: Simplify right side
    305,219x = 201,325,408,249
  5. Step 5: Solve for x
    x = 201,325,408,249/305,219
  6. Step 6: Final answer
    x = 659,609.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.