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Finding the Third Proportional to 313,059 and 685,158

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Solution

The third proportional to 313,059 and 685,158 is: 1,499,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,059 : 685,158 = 685,158 : x
  2. Step 2: Convert to fraction form
    313,059/685,158 = 685,158/x
  3. Step 3: Cross multiply
    313,059x = 685,158 × 685,158
  4. Step 4: Simplify right side
    313,059x = 469,441,484,964
  5. Step 5: Solve for x
    x = 469,441,484,964/313,059
  6. Step 6: Final answer
    x = 1,499,530.39

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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.