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Finding the Third Proportional to 288,869 and 449,046

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Solution

The third proportional to 288,869 and 449,046 is: 698,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,869 : 449,046 = 449,046 : x
  2. Step 2: Convert to fraction form
    288,869/449,046 = 449,046/x
  3. Step 3: Cross multiply
    288,869x = 449,046 × 449,046
  4. Step 4: Simplify right side
    288,869x = 201,642,310,116
  5. Step 5: Solve for x
    x = 201,642,310,116/288,869
  6. Step 6: Final answer
    x = 698,040.67

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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.