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Finding the Third Proportional to 7,720 and 11,030

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Solution

The third proportional to 7,720 and 11,030 is: 15,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 11,030 = 11,030 : x
  2. Step 2: Convert to fraction form
    7,720/11,030 = 11,030/x
  3. Step 3: Cross multiply
    7,720x = 11,030 × 11,030
  4. Step 4: Simplify right side
    7,720x = 121,660,900
  5. Step 5: Solve for x
    x = 121,660,900/7,720
  6. Step 6: Final answer
    x = 15,759.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.