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Finding the Third Proportional to 318,088 and 685,996

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Solution

The third proportional to 318,088 and 685,996 is: 1,479,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,088 : 685,996 = 685,996 : x
  2. Step 2: Convert to fraction form
    318,088/685,996 = 685,996/x
  3. Step 3: Cross multiply
    318,088x = 685,996 × 685,996
  4. Step 4: Simplify right side
    318,088x = 470,590,512,016
  5. Step 5: Solve for x
    x = 470,590,512,016/318,088
  6. Step 6: Final answer
    x = 1,479,434.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.