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Finding the Third Proportional to 28,731 and 43,131

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Solution

The third proportional to 28,731 and 43,131 is: 64,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,731 : 43,131 = 43,131 : x
  2. Step 2: Convert to fraction form
    28,731/43,131 = 43,131/x
  3. Step 3: Cross multiply
    28,731x = 43,131 × 43,131
  4. Step 4: Simplify right side
    28,731x = 1,860,283,161
  5. Step 5: Solve for x
    x = 1,860,283,161/28,731
  6. Step 6: Final answer
    x = 64,748.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.