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Finding the Third Proportional to 190,248 and 449,920

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Solution

The third proportional to 190,248 and 449,920 is: 1,064,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,248 : 449,920 = 449,920 : x
  2. Step 2: Convert to fraction form
    190,248/449,920 = 449,920/x
  3. Step 3: Cross multiply
    190,248x = 449,920 × 449,920
  4. Step 4: Simplify right side
    190,248x = 202,428,006,400
  5. Step 5: Solve for x
    x = 202,428,006,400/190,248
  6. Step 6: Final answer
    x = 1,064,021.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.