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Finding the Third Proportional to 312,050 and 685,118

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Solution

The third proportional to 312,050 and 685,118 is: 1,504,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,050 : 685,118 = 685,118 : x
  2. Step 2: Convert to fraction form
    312,050/685,118 = 685,118/x
  3. Step 3: Cross multiply
    312,050x = 685,118 × 685,118
  4. Step 4: Simplify right side
    312,050x = 469,386,673,924
  5. Step 5: Solve for x
    x = 469,386,673,924/312,050
  6. Step 6: Final answer
    x = 1,504,203.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.