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Finding the Third Proportional to 1,147.75 and 2,509.38

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Solution

The third proportional to 1,147.75 and 2,509.38 is: 5,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.75 : 2,509.38 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    1,147.75/2,509.38 = 2,509.38/x
  3. Step 3: Cross multiply
    1,147.75x = 2,509.38 × 2,509.38
  4. Step 4: Simplify right side
    1,147.75x = 6,296,962.89
  5. Step 5: Solve for x
    x = 6,296,962.89/1,147.75
  6. Step 6: Final answer
    x = 5,486.35

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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.