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Finding the Third Proportional to 68,621 and 99,104

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Solution

The third proportional to 68,621 and 99,104 is: 143,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,621 : 99,104 = 99,104 : x
  2. Step 2: Convert to fraction form
    68,621/99,104 = 99,104/x
  3. Step 3: Cross multiply
    68,621x = 99,104 × 99,104
  4. Step 4: Simplify right side
    68,621x = 9,821,602,816
  5. Step 5: Solve for x
    x = 9,821,602,816/68,621
  6. Step 6: Final answer
    x = 143,128.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.