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Finding the Third Proportional to 7,776 and 8,883

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Solution

The third proportional to 7,776 and 8,883 is: 10,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 8,883 = 8,883 : x
  2. Step 2: Convert to fraction form
    7,776/8,883 = 8,883/x
  3. Step 3: Cross multiply
    7,776x = 8,883 × 8,883
  4. Step 4: Simplify right side
    7,776x = 78,907,689
  5. Step 5: Solve for x
    x = 78,907,689/7,776
  6. Step 6: Final answer
    x = 10,147.59

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.