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Finding the Third Proportional to 7,776 and 8,384

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Solution

The third proportional to 7,776 and 8,384 is: 9,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 8,384 = 8,384 : x
  2. Step 2: Convert to fraction form
    7,776/8,384 = 8,384/x
  3. Step 3: Cross multiply
    7,776x = 8,384 × 8,384
  4. Step 4: Simplify right side
    7,776x = 70,291,456
  5. Step 5: Solve for x
    x = 70,291,456/7,776
  6. Step 6: Final answer
    x = 9,039.54

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.