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Finding the Third Proportional to 289,400 and 448,059

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Solution

The third proportional to 289,400 and 448,059 is: 693,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,400 : 448,059 = 448,059 : x
  2. Step 2: Convert to fraction form
    289,400/448,059 = 448,059/x
  3. Step 3: Cross multiply
    289,400x = 448,059 × 448,059
  4. Step 4: Simplify right side
    289,400x = 200,756,867,481
  5. Step 5: Solve for x
    x = 200,756,867,481/289,400
  6. Step 6: Final answer
    x = 693,700.30

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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.