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Finding the Third Proportional to 312,827.50 and 683,020.50

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Solution

The third proportional to 312,827.50 and 683,020.50 is: 1,491,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,827.50 : 683,020.50 = 683,020.50 : x
  2. Step 2: Convert to fraction form
    312,827.50/683,020.50 = 683,020.50/x
  3. Step 3: Cross multiply
    312,827.50x = 683,020.50 × 683,020.50
  4. Step 4: Simplify right side
    312,827.50x = 466,517,003,420.25
  5. Step 5: Solve for x
    x = 466,517,003,420.25/312,827.50
  6. Step 6: Final answer
    x = 1,491,291.54

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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.