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Finding the Third Proportional to 28,005.75 and 43,284.38

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Solution

The third proportional to 28,005.75 and 43,284.38 is: 66,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.75 : 43,284.38 = 43,284.38 : x
  2. Step 2: Convert to fraction form
    28,005.75/43,284.38 = 43,284.38/x
  3. Step 3: Cross multiply
    28,005.75x = 43,284.38 × 43,284.38
  4. Step 4: Simplify right side
    28,005.75x = 1,873,537,119.14
  5. Step 5: Solve for x
    x = 1,873,537,119.14/28,005.75
  6. Step 6: Final answer
    x = 66,898.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.