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Finding the Third Proportional to 3,103 and 7,017.50

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Solution

The third proportional to 3,103 and 7,017.50 is: 15,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103 : 7,017.50 = 7,017.50 : x
  2. Step 2: Convert to fraction form
    3,103/7,017.50 = 7,017.50/x
  3. Step 3: Cross multiply
    3,103x = 7,017.50 × 7,017.50
  4. Step 4: Simplify right side
    3,103x = 49,245,306.25
  5. Step 5: Solve for x
    x = 49,245,306.25/3,103
  6. Step 6: Final answer
    x = 15,870.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.