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Finding the Third Proportional to 7,776 and 9,976

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Solution

The third proportional to 7,776 and 9,976 is: 12,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 9,976 = 9,976 : x
  2. Step 2: Convert to fraction form
    7,776/9,976 = 9,976/x
  3. Step 3: Cross multiply
    7,776x = 9,976 × 9,976
  4. Step 4: Simplify right side
    7,776x = 99,520,576
  5. Step 5: Solve for x
    x = 99,520,576/7,776
  6. Step 6: Final answer
    x = 12,798.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.