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Finding the Third Proportional to 312,639 and 682,480.50

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Solution

The third proportional to 312,639 and 682,480.50 is: 1,489,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,639 : 682,480.50 = 682,480.50 : x
  2. Step 2: Convert to fraction form
    312,639/682,480.50 = 682,480.50/x
  3. Step 3: Cross multiply
    312,639x = 682,480.50 × 682,480.50
  4. Step 4: Simplify right side
    312,639x = 465,779,632,880.25
  5. Step 5: Solve for x
    x = 465,779,632,880.25/312,639
  6. Step 6: Final answer
    x = 1,489,832.15

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