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Finding the Third Proportional to 7,670 and 15,663

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Solution

The third proportional to 7,670 and 15,663 is: 31,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 15,663 = 15,663 : x
  2. Step 2: Convert to fraction form
    7,670/15,663 = 15,663/x
  3. Step 3: Cross multiply
    7,670x = 15,663 × 15,663
  4. Step 4: Simplify right side
    7,670x = 245,329,569
  5. Step 5: Solve for x
    x = 245,329,569/7,670
  6. Step 6: Final answer
    x = 31,985.60

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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.