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Finding the Third Proportional to 629.96 and 1,335.08

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Solution

The third proportional to 629.96 and 1,335.08 is: 2,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.96 : 1,335.08 = 1,335.08 : x
  2. Step 2: Convert to fraction form
    629.96/1,335.08 = 1,335.08/x
  3. Step 3: Cross multiply
    629.96x = 1,335.08 × 1,335.08
  4. Step 4: Simplify right side
    629.96x = 1,782,428.38
  5. Step 5: Solve for x
    x = 1,782,428.38/629.96
  6. Step 6: Final answer
    x = 2,829.41

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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.