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Finding the Third Proportional to 68,242 and 100,410

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Solution

The third proportional to 68,242 and 100,410 is: 147,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,242 : 100,410 = 100,410 : x
  2. Step 2: Convert to fraction form
    68,242/100,410 = 100,410/x
  3. Step 3: Cross multiply
    68,242x = 100,410 × 100,410
  4. Step 4: Simplify right side
    68,242x = 10,082,168,100
  5. Step 5: Solve for x
    x = 10,082,168,100/68,242
  6. Step 6: Final answer
    x = 147,741.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.