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Finding the Third Proportional to 64,380 and 134,643

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Solution

The third proportional to 64,380 and 134,643 is: 281,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,380 : 134,643 = 134,643 : x
  2. Step 2: Convert to fraction form
    64,380/134,643 = 134,643/x
  3. Step 3: Cross multiply
    64,380x = 134,643 × 134,643
  4. Step 4: Simplify right side
    64,380x = 18,128,737,449
  5. Step 5: Solve for x
    x = 18,128,737,449/64,380
  6. Step 6: Final answer
    x = 281,589.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.