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Finding the Third Proportional to 45,288 and 64,419.75

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Solution

The third proportional to 45,288 and 64,419.75 is: 91,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,288 : 64,419.75 = 64,419.75 : x
  2. Step 2: Convert to fraction form
    45,288/64,419.75 = 64,419.75/x
  3. Step 3: Cross multiply
    45,288x = 64,419.75 × 64,419.75
  4. Step 4: Simplify right side
    45,288x = 4,149,904,190.06
  5. Step 5: Solve for x
    x = 4,149,904,190.06/45,288
  6. Step 6: Final answer
    x = 91,633.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.