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Finding the Third Proportional to 318,084 and 685,988

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Solution

The third proportional to 318,084 and 685,988 is: 1,479,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,084 : 685,988 = 685,988 : x
  2. Step 2: Convert to fraction form
    318,084/685,988 = 685,988/x
  3. Step 3: Cross multiply
    318,084x = 685,988 × 685,988
  4. Step 4: Simplify right side
    318,084x = 470,579,536,144
  5. Step 5: Solve for x
    x = 470,579,536,144/318,084
  6. Step 6: Final answer
    x = 1,479,419.07

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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.