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Finding the Third Proportional to 7,678 and 8,890

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Solution

The third proportional to 7,678 and 8,890 is: 10,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 8,890 = 8,890 : x
  2. Step 2: Convert to fraction form
    7,678/8,890 = 8,890/x
  3. Step 3: Cross multiply
    7,678x = 8,890 × 8,890
  4. Step 4: Simplify right side
    7,678x = 79,032,100
  5. Step 5: Solve for x
    x = 79,032,100/7,678
  6. Step 6: Final answer
    x = 10,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.