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Finding the Third Proportional to 3,316.78 and 7,117.03

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Solution

The third proportional to 3,316.78 and 7,117.03 is: 15,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.78 : 7,117.03 = 7,117.03 : x
  2. Step 2: Convert to fraction form
    3,316.78/7,117.03 = 7,117.03/x
  3. Step 3: Cross multiply
    3,316.78x = 7,117.03 × 7,117.03
  4. Step 4: Simplify right side
    3,316.78x = 50,652,133.81
  5. Step 5: Solve for x
    x = 50,652,133.81/3,316.78
  6. Step 6: Final answer
    x = 15,271.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.