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Finding the Third Proportional to 299.00 and 653.54

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Solution

The third proportional to 299.00 and 653.54 is: 1,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.00 : 653.54 = 653.54 : x
  2. Step 2: Convert to fraction form
    299.00/653.54 = 653.54/x
  3. Step 3: Cross multiply
    299.00x = 653.54 × 653.54
  4. Step 4: Simplify right side
    299.00x = 427,110.75
  5. Step 5: Solve for x
    x = 427,110.75/299.00
  6. Step 6: Final answer
    x = 1,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.