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Finding the Third Proportional to 64,365 and 134,611.50

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Solution

The third proportional to 64,365 and 134,611.50 is: 281,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,365 : 134,611.50 = 134,611.50 : x
  2. Step 2: Convert to fraction form
    64,365/134,611.50 = 134,611.50/x
  3. Step 3: Cross multiply
    64,365x = 134,611.50 × 134,611.50
  4. Step 4: Simplify right side
    64,365x = 18,120,255,932.25
  5. Step 5: Solve for x
    x = 18,120,255,932.25/64,365
  6. Step 6: Final answer
    x = 281,523.44

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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.