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Finding the Third Proportional to 289,396.50 and 448,053.75

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Solution

The third proportional to 289,396.50 and 448,053.75 is: 693,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.50 : 448,053.75 = 448,053.75 : x
  2. Step 2: Convert to fraction form
    289,396.50/448,053.75 = 448,053.75/x
  3. Step 3: Cross multiply
    289,396.50x = 448,053.75 × 448,053.75
  4. Step 4: Simplify right side
    289,396.50x = 200,752,162,889.06
  5. Step 5: Solve for x
    x = 200,752,162,889.06/289,396.50
  6. Step 6: Final answer
    x = 693,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.