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Finding the Third Proportional to 655.63 and 1,419.25

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Solution

The third proportional to 655.63 and 1,419.25 is: 3,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.63 : 1,419.25 = 1,419.25 : x
  2. Step 2: Convert to fraction form
    655.63/1,419.25 = 1,419.25/x
  3. Step 3: Cross multiply
    655.63x = 1,419.25 × 1,419.25
  4. Step 4: Simplify right side
    655.63x = 2,014,270.56
  5. Step 5: Solve for x
    x = 2,014,270.56/655.63
  6. Step 6: Final answer
    x = 3,072.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.