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Finding the Third Proportional to 280,396.50 and 676,013

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Solution

The third proportional to 280,396.50 and 676,013 is: 1,629,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,396.50 : 676,013 = 676,013 : x
  2. Step 2: Convert to fraction form
    280,396.50/676,013 = 676,013/x
  3. Step 3: Cross multiply
    280,396.50x = 676,013 × 676,013
  4. Step 4: Simplify right side
    280,396.50x = 456,993,576,169
  5. Step 5: Solve for x
    x = 456,993,576,169/280,396.50
  6. Step 6: Final answer
    x = 1,629,811.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.