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Finding the Third Proportional to 68,380 and 147,695

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Solution

The third proportional to 68,380 and 147,695 is: 319,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,380 : 147,695 = 147,695 : x
  2. Step 2: Convert to fraction form
    68,380/147,695 = 147,695/x
  3. Step 3: Cross multiply
    68,380x = 147,695 × 147,695
  4. Step 4: Simplify right side
    68,380x = 21,813,813,025
  5. Step 5: Solve for x
    x = 21,813,813,025/68,380
  6. Step 6: Final answer
    x = 319,008.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.