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Finding the Third Proportional to 297,615 and 449,106

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Solution

The third proportional to 297,615 and 449,106 is: 677,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,615 : 449,106 = 449,106 : x
  2. Step 2: Convert to fraction form
    297,615/449,106 = 449,106/x
  3. Step 3: Cross multiply
    297,615x = 449,106 × 449,106
  4. Step 4: Simplify right side
    297,615x = 201,696,199,236
  5. Step 5: Solve for x
    x = 201,696,199,236/297,615
  6. Step 6: Final answer
    x = 677,708.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.