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Finding the Third Proportional to 312,700 and 682,749

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Solution

The third proportional to 312,700 and 682,749 is: 1,490,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700 : 682,749 = 682,749 : x
  2. Step 2: Convert to fraction form
    312,700/682,749 = 682,749/x
  3. Step 3: Cross multiply
    312,700x = 682,749 × 682,749
  4. Step 4: Simplify right side
    312,700x = 466,146,197,001
  5. Step 5: Solve for x
    x = 466,146,197,001/312,700
  6. Step 6: Final answer
    x = 1,490,713.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.