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Finding the Third Proportional to 28,790 and 43,886

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Solution

The third proportional to 28,790 and 43,886 is: 66,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,790 : 43,886 = 43,886 : x
  2. Step 2: Convert to fraction form
    28,790/43,886 = 43,886/x
  3. Step 3: Cross multiply
    28,790x = 43,886 × 43,886
  4. Step 4: Simplify right side
    28,790x = 1,925,980,996
  5. Step 5: Solve for x
    x = 1,925,980,996/28,790
  6. Step 6: Final answer
    x = 66,897.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.