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Finding the Third Proportional to 25,760 and 40,821

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Solution

The third proportional to 25,760 and 40,821 is: 64,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 40,821 = 40,821 : x
  2. Step 2: Convert to fraction form
    25,760/40,821 = 40,821/x
  3. Step 3: Cross multiply
    25,760x = 40,821 × 40,821
  4. Step 4: Simplify right side
    25,760x = 1,666,354,041
  5. Step 5: Solve for x
    x = 1,666,354,041/25,760
  6. Step 6: Final answer
    x = 64,687.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.