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Finding the Third Proportional to 281,144 and 449,658

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Solution

The third proportional to 281,144 and 449,658 is: 719,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,144 : 449,658 = 449,658 : x
  2. Step 2: Convert to fraction form
    281,144/449,658 = 449,658/x
  3. Step 3: Cross multiply
    281,144x = 449,658 × 449,658
  4. Step 4: Simplify right side
    281,144x = 202,192,316,964
  5. Step 5: Solve for x
    x = 202,192,316,964/281,144
  6. Step 6: Final answer
    x = 719,177.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.