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Finding the Third Proportional to 64,611 and 136,892.25

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Solution

The third proportional to 64,611 and 136,892.25 is: 290,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,611 : 136,892.25 = 136,892.25 : x
  2. Step 2: Convert to fraction form
    64,611/136,892.25 = 136,892.25/x
  3. Step 3: Cross multiply
    64,611x = 136,892.25 × 136,892.25
  4. Step 4: Simplify right side
    64,611x = 18,739,488,110.06
  5. Step 5: Solve for x
    x = 18,739,488,110.06/64,611
  6. Step 6: Final answer
    x = 290,035.57

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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.