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Finding the Third Proportional to 68,135 and 100,000

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Solution

The third proportional to 68,135 and 100,000 is: 146,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,135 : 100,000 = 100,000 : x
  2. Step 2: Convert to fraction form
    68,135/100,000 = 100,000/x
  3. Step 3: Cross multiply
    68,135x = 100,000 × 100,000
  4. Step 4: Simplify right side
    68,135x = 10,000,000,000
  5. Step 5: Solve for x
    x = 10,000,000,000/68,135
  6. Step 6: Final answer
    x = 146,767.45

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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.