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Finding the Third Proportional to 7,720 and 15,712.75

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Solution

The third proportional to 7,720 and 15,712.75 is: 31,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 15,712.75 = 15,712.75 : x
  2. Step 2: Convert to fraction form
    7,720/15,712.75 = 15,712.75/x
  3. Step 3: Cross multiply
    7,720x = 15,712.75 × 15,712.75
  4. Step 4: Simplify right side
    7,720x = 246,890,512.56
  5. Step 5: Solve for x
    x = 246,890,512.56/7,720
  6. Step 6: Final answer
    x = 31,980.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.