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Finding the Third Proportional to 66,484.13 and 145,942.88

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Solution

The third proportional to 66,484.13 and 145,942.88 is: 320,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,484.13 : 145,942.88 = 145,942.88 : x
  2. Step 2: Convert to fraction form
    66,484.13/145,942.88 = 145,942.88/x
  3. Step 3: Cross multiply
    66,484.13x = 145,942.88 × 145,942.88
  4. Step 4: Simplify right side
    66,484.13x = 21,299,322,763.27
  5. Step 5: Solve for x
    x = 21,299,322,763.27/66,484.13
  6. Step 6: Final answer
    x = 320,367.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.