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Finding the Third Proportional to 27,858 and 45,731

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Solution

The third proportional to 27,858 and 45,731 is: 75,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 45,731 = 45,731 : x
  2. Step 2: Convert to fraction form
    27,858/45,731 = 45,731/x
  3. Step 3: Cross multiply
    27,858x = 45,731 × 45,731
  4. Step 4: Simplify right side
    27,858x = 2,091,324,361
  5. Step 5: Solve for x
    x = 2,091,324,361/27,858
  6. Step 6: Final answer
    x = 75,070.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.