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Finding the Third Proportional to 2,101 and 4,130

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Solution

The third proportional to 2,101 and 4,130 is: 8,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101 : 4,130 = 4,130 : x
  2. Step 2: Convert to fraction form
    2,101/4,130 = 4,130/x
  3. Step 3: Cross multiply
    2,101x = 4,130 × 4,130
  4. Step 4: Simplify right side
    2,101x = 17,056,900
  5. Step 5: Solve for x
    x = 17,056,900/2,101
  6. Step 6: Final answer
    x = 8,118.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.