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Finding the Third Proportional to 64,611 and 136,895

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Solution

The third proportional to 64,611 and 136,895 is: 290,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,611 : 136,895 = 136,895 : x
  2. Step 2: Convert to fraction form
    64,611/136,895 = 136,895/x
  3. Step 3: Cross multiply
    64,611x = 136,895 × 136,895
  4. Step 4: Simplify right side
    64,611x = 18,740,241,025
  5. Step 5: Solve for x
    x = 18,740,241,025/64,611
  6. Step 6: Final answer
    x = 290,047.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.