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Finding the Third Proportional to 673.94 and 1,428.88

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Solution

The third proportional to 673.94 and 1,428.88 is: 3,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 1,428.88 = 1,428.88 : x
  2. Step 2: Convert to fraction form
    673.94/1,428.88 = 1,428.88/x
  3. Step 3: Cross multiply
    673.94x = 1,428.88 × 1,428.88
  4. Step 4: Simplify right side
    673.94x = 2,041,683.77
  5. Step 5: Solve for x
    x = 2,041,683.77/673.94
  6. Step 6: Final answer
    x = 3,029.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.