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Finding the Third Proportional to 305,667 and 670,383

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Solution

The third proportional to 305,667 and 670,383 is: 1,470,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,667 : 670,383 = 670,383 : x
  2. Step 2: Convert to fraction form
    305,667/670,383 = 670,383/x
  3. Step 3: Cross multiply
    305,667x = 670,383 × 670,383
  4. Step 4: Simplify right side
    305,667x = 449,413,366,689
  5. Step 5: Solve for x
    x = 449,413,366,689/305,667
  6. Step 6: Final answer
    x = 1,470,271.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.