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Finding the Third Proportional to 2,768 and 7,520

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Solution

The third proportional to 2,768 and 7,520 is: 20,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 7,520 = 7,520 : x
  2. Step 2: Convert to fraction form
    2,768/7,520 = 7,520/x
  3. Step 3: Cross multiply
    2,768x = 7,520 × 7,520
  4. Step 4: Simplify right side
    2,768x = 56,550,400
  5. Step 5: Solve for x
    x = 56,550,400/2,768
  6. Step 6: Final answer
    x = 20,430.06

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.