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Finding the Third Proportional to 64,641 and 135,600

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Solution

The third proportional to 64,641 and 135,600 is: 284,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641 : 135,600 = 135,600 : x
  2. Step 2: Convert to fraction form
    64,641/135,600 = 135,600/x
  3. Step 3: Cross multiply
    64,641x = 135,600 × 135,600
  4. Step 4: Simplify right side
    64,641x = 18,387,360,000
  5. Step 5: Solve for x
    x = 18,387,360,000/64,641
  6. Step 6: Final answer
    x = 284,453.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.