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Finding the Third Proportional to 305,270 and 448,759

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Solution

The third proportional to 305,270 and 448,759 is: 659,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270 : 448,759 = 448,759 : x
  2. Step 2: Convert to fraction form
    305,270/448,759 = 448,759/x
  3. Step 3: Cross multiply
    305,270x = 448,759 × 448,759
  4. Step 4: Simplify right side
    305,270x = 201,384,640,081
  5. Step 5: Solve for x
    x = 201,384,640,081/305,270
  6. Step 6: Final answer
    x = 659,693.52

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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.