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Finding the Third Proportional to 68,658 and 160,405

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Solution

The third proportional to 68,658 and 160,405 is: 374,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658 : 160,405 = 160,405 : x
  2. Step 2: Convert to fraction form
    68,658/160,405 = 160,405/x
  3. Step 3: Cross multiply
    68,658x = 160,405 × 160,405
  4. Step 4: Simplify right side
    68,658x = 25,729,764,025
  5. Step 5: Solve for x
    x = 25,729,764,025/68,658
  6. Step 6: Final answer
    x = 374,752.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.