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Finding the Third Proportional to 288,909.44 and 449,100.07

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Solution

The third proportional to 288,909.44 and 449,100.07 is: 698,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,909.44 : 449,100.07 = 449,100.07 : x
  2. Step 2: Convert to fraction form
    288,909.44/449,100.07 = 449,100.07/x
  3. Step 3: Cross multiply
    288,909.44x = 449,100.07 × 449,100.07
  4. Step 4: Simplify right side
    288,909.44x = 201,690,873,154.69
  5. Step 5: Solve for x
    x = 201,690,873,154.69/288,909.44
  6. Step 6: Final answer
    x = 698,111.05

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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.