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Finding the Third Proportional to 7,858 and 15,926

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Solution

The third proportional to 7,858 and 15,926 is: 32,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 15,926 = 15,926 : x
  2. Step 2: Convert to fraction form
    7,858/15,926 = 15,926/x
  3. Step 3: Cross multiply
    7,858x = 15,926 × 15,926
  4. Step 4: Simplify right side
    7,858x = 253,637,476
  5. Step 5: Solve for x
    x = 253,637,476/7,858
  6. Step 6: Final answer
    x = 32,277.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.