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Finding the Third Proportional to 305,974 and 662,780

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Solution

The third proportional to 305,974 and 662,780 is: 1,435,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,974 : 662,780 = 662,780 : x
  2. Step 2: Convert to fraction form
    305,974/662,780 = 662,780/x
  3. Step 3: Cross multiply
    305,974x = 662,780 × 662,780
  4. Step 4: Simplify right side
    305,974x = 439,277,328,400
  5. Step 5: Solve for x
    x = 439,277,328,400/305,974
  6. Step 6: Final answer
    x = 1,435,668.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.