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Finding the Third Proportional to 1,177.03 and 3,096.35

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Solution

The third proportional to 1,177.03 and 3,096.35 is: 8,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.03 : 3,096.35 = 3,096.35 : x
  2. Step 2: Convert to fraction form
    1,177.03/3,096.35 = 3,096.35/x
  3. Step 3: Cross multiply
    1,177.03x = 3,096.35 × 3,096.35
  4. Step 4: Simplify right side
    1,177.03x = 9,587,393.00
  5. Step 5: Solve for x
    x = 9,587,393.00/1,177.03
  6. Step 6: Final answer
    x = 8,145.40

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.