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Finding the Third Proportional to 7,685 and 10,243

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Solution

The third proportional to 7,685 and 10,243 is: 13,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685 : 10,243 = 10,243 : x
  2. Step 2: Convert to fraction form
    7,685/10,243 = 10,243/x
  3. Step 3: Cross multiply
    7,685x = 10,243 × 10,243
  4. Step 4: Simplify right side
    7,685x = 104,919,049
  5. Step 5: Solve for x
    x = 104,919,049/7,685
  6. Step 6: Final answer
    x = 13,652.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.