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Finding the Third Proportional to 18,774.28 and 29,238.47

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Solution

The third proportional to 18,774.28 and 29,238.47 is: 45,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,774.28 : 29,238.47 = 29,238.47 : x
  2. Step 2: Convert to fraction form
    18,774.28/29,238.47 = 29,238.47/x
  3. Step 3: Cross multiply
    18,774.28x = 29,238.47 × 29,238.47
  4. Step 4: Simplify right side
    18,774.28x = 854,888,054.84
  5. Step 5: Solve for x
    x = 854,888,054.84/18,774.28
  6. Step 6: Final answer
    x = 45,535.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.