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Finding the Third Proportional to 318,559.50 and 684,340.50

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Solution

The third proportional to 318,559.50 and 684,340.50 is: 1,470,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,559.50 : 684,340.50 = 684,340.50 : x
  2. Step 2: Convert to fraction form
    318,559.50/684,340.50 = 684,340.50/x
  3. Step 3: Cross multiply
    318,559.50x = 684,340.50 × 684,340.50
  4. Step 4: Simplify right side
    318,559.50x = 468,321,919,940.25
  5. Step 5: Solve for x
    x = 468,321,919,940.25/318,559.50
  6. Step 6: Final answer
    x = 1,470,123.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.