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Finding the Third Proportional to 318,076 and 685,969

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Solution

The third proportional to 318,076 and 685,969 is: 1,479,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,076 : 685,969 = 685,969 : x
  2. Step 2: Convert to fraction form
    318,076/685,969 = 685,969/x
  3. Step 3: Cross multiply
    318,076x = 685,969 × 685,969
  4. Step 4: Simplify right side
    318,076x = 470,553,468,961
  5. Step 5: Solve for x
    x = 470,553,468,961/318,076
  6. Step 6: Final answer
    x = 1,479,374.33

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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.