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Finding the Third Proportional to 43,600 and 102,808

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Solution

The third proportional to 43,600 and 102,808 is: 242,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,600 : 102,808 = 102,808 : x
  2. Step 2: Convert to fraction form
    43,600/102,808 = 102,808/x
  3. Step 3: Cross multiply
    43,600x = 102,808 × 102,808
  4. Step 4: Simplify right side
    43,600x = 10,569,484,864
  5. Step 5: Solve for x
    x = 10,569,484,864/43,600
  6. Step 6: Final answer
    x = 242,419.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.