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Finding the Third Proportional to 289,733.63 and 448,243.88

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Solution

The third proportional to 289,733.63 and 448,243.88 is: 693,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,733.63 : 448,243.88 = 448,243.88 : x
  2. Step 2: Convert to fraction form
    289,733.63/448,243.88 = 448,243.88/x
  3. Step 3: Cross multiply
    289,733.63x = 448,243.88 × 448,243.88
  4. Step 4: Simplify right side
    289,733.63x = 200,922,571,475.02
  5. Step 5: Solve for x
    x = 200,922,571,475.02/289,733.63
  6. Step 6: Final answer
    x = 693,473.43

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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.