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Finding the Third Proportional to 7,685 and 15,677

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Solution

The third proportional to 7,685 and 15,677 is: 31,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685 : 15,677 = 15,677 : x
  2. Step 2: Convert to fraction form
    7,685/15,677 = 15,677/x
  3. Step 3: Cross multiply
    7,685x = 15,677 × 15,677
  4. Step 4: Simplify right side
    7,685x = 245,768,329
  5. Step 5: Solve for x
    x = 245,768,329/7,685
  6. Step 6: Final answer
    x = 31,980.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.