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Finding the Third Proportional to 288,911.81 and 449,101.97

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Solution

The third proportional to 288,911.81 and 449,101.97 is: 698,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,911.81 : 449,101.97 = 449,101.97 : x
  2. Step 2: Convert to fraction form
    288,911.81/449,101.97 = 449,101.97/x
  3. Step 3: Cross multiply
    288,911.81x = 449,101.97 × 449,101.97
  4. Step 4: Simplify right side
    288,911.81x = 201,692,578,335.13
  5. Step 5: Solve for x
    x = 201,692,578,335.13/288,911.81
  6. Step 6: Final answer
    x = 698,111.22

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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.