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Finding the Third Proportional to 289,326 and 447,948

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Solution

The third proportional to 289,326 and 447,948 is: 693,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,326 : 447,948 = 447,948 : x
  2. Step 2: Convert to fraction form
    289,326/447,948 = 447,948/x
  3. Step 3: Cross multiply
    289,326x = 447,948 × 447,948
  4. Step 4: Simplify right side
    289,326x = 200,657,410,704
  5. Step 5: Solve for x
    x = 200,657,410,704/289,326
  6. Step 6: Final answer
    x = 693,533.97

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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.