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Finding the Third Proportional to 64,637 and 134,809

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Solution

The third proportional to 64,637 and 134,809 is: 281,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,637 : 134,809 = 134,809 : x
  2. Step 2: Convert to fraction form
    64,637/134,809 = 134,809/x
  3. Step 3: Cross multiply
    64,637x = 134,809 × 134,809
  4. Step 4: Simplify right side
    64,637x = 18,173,466,481
  5. Step 5: Solve for x
    x = 18,173,466,481/64,637
  6. Step 6: Final answer
    x = 281,161.97

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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.