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Finding the Third Proportional to 269,518 and 449,157

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Solution

The third proportional to 269,518 and 449,157 is: 748,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,518 : 449,157 = 449,157 : x
  2. Step 2: Convert to fraction form
    269,518/449,157 = 449,157/x
  3. Step 3: Cross multiply
    269,518x = 449,157 × 449,157
  4. Step 4: Simplify right side
    269,518x = 201,742,010,649
  5. Step 5: Solve for x
    x = 201,742,010,649/269,518
  6. Step 6: Final answer
    x = 748,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.