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Finding the Third Proportional to 7,112 and 12,808

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Solution

The third proportional to 7,112 and 12,808 is: 23,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112 : 12,808 = 12,808 : x
  2. Step 2: Convert to fraction form
    7,112/12,808 = 12,808/x
  3. Step 3: Cross multiply
    7,112x = 12,808 × 12,808
  4. Step 4: Simplify right side
    7,112x = 164,044,864
  5. Step 5: Solve for x
    x = 164,044,864/7,112
  6. Step 6: Final answer
    x = 23,065.93

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.