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Finding the Third Proportional to 313,861.50 and 456,205.50

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Solution

The third proportional to 313,861.50 and 456,205.50 is: 663,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,861.50 : 456,205.50 = 456,205.50 : x
  2. Step 2: Convert to fraction form
    313,861.50/456,205.50 = 456,205.50/x
  3. Step 3: Cross multiply
    313,861.50x = 456,205.50 × 456,205.50
  4. Step 4: Simplify right side
    313,861.50x = 208,123,458,230.25
  5. Step 5: Solve for x
    x = 208,123,458,230.25/313,861.50
  6. Step 6: Final answer
    x = 663,106.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.