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Finding the Third Proportional to 25,821 and 39,710

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Solution

The third proportional to 25,821 and 39,710 is: 61,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821 : 39,710 = 39,710 : x
  2. Step 2: Convert to fraction form
    25,821/39,710 = 39,710/x
  3. Step 3: Cross multiply
    25,821x = 39,710 × 39,710
  4. Step 4: Simplify right side
    25,821x = 1,576,884,100
  5. Step 5: Solve for x
    x = 1,576,884,100/25,821
  6. Step 6: Final answer
    x = 61,069.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.