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Finding the Third Proportional to 7,628 and 15,562

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Solution

The third proportional to 7,628 and 15,562 is: 31,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628 : 15,562 = 15,562 : x
  2. Step 2: Convert to fraction form
    7,628/15,562 = 15,562/x
  3. Step 3: Cross multiply
    7,628x = 15,562 × 15,562
  4. Step 4: Simplify right side
    7,628x = 242,175,844
  5. Step 5: Solve for x
    x = 242,175,844/7,628
  6. Step 6: Final answer
    x = 31,748.28

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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.