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Finding the Third Proportional to 685,800 and 1,054,764

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Solution

The third proportional to 685,800 and 1,054,764 is: 1,622,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,800 : 1,054,764 = 1,054,764 : x
  2. Step 2: Convert to fraction form
    685,800/1,054,764 = 1,054,764/x
  3. Step 3: Cross multiply
    685,800x = 1,054,764 × 1,054,764
  4. Step 4: Simplify right side
    685,800x = 1,112,527,095,696
  5. Step 5: Solve for x
    x = 1,112,527,095,696/685,800
  6. Step 6: Final answer
    x = 1,622,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.