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Finding the Third Proportional to 288,912 and 449,104

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Solution

The third proportional to 288,912 and 449,104 is: 698,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,912 : 449,104 = 449,104 : x
  2. Step 2: Convert to fraction form
    288,912/449,104 = 449,104/x
  3. Step 3: Cross multiply
    288,912x = 449,104 × 449,104
  4. Step 4: Simplify right side
    288,912x = 201,694,402,816
  5. Step 5: Solve for x
    x = 201,694,402,816/288,912
  6. Step 6: Final answer
    x = 698,117.08

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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.