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Finding the Third Proportional to 312,898.50 and 682,893

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Solution

The third proportional to 312,898.50 and 682,893 is: 1,490,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,898.50 : 682,893 = 682,893 : x
  2. Step 2: Convert to fraction form
    312,898.50/682,893 = 682,893/x
  3. Step 3: Cross multiply
    312,898.50x = 682,893 × 682,893
  4. Step 4: Simplify right side
    312,898.50x = 466,342,849,449
  5. Step 5: Solve for x
    x = 466,342,849,449/312,898.50
  6. Step 6: Final answer
    x = 1,490,396.56

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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.