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Finding the Third Proportional to 271,871.44 and 420,109.03

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Solution

The third proportional to 271,871.44 and 420,109.03 is: 649,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,871.44 : 420,109.03 = 420,109.03 : x
  2. Step 2: Convert to fraction form
    271,871.44/420,109.03 = 420,109.03/x
  3. Step 3: Cross multiply
    271,871.44x = 420,109.03 × 420,109.03
  4. Step 4: Simplify right side
    271,871.44x = 176,491,598,137.81
  5. Step 5: Solve for x
    x = 176,491,598,137.81/271,871.44
  6. Step 6: Final answer
    x = 649,173.01

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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.