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Finding the Third Proportional to 7,642 and 9,951

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Solution

The third proportional to 7,642 and 9,951 is: 12,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 9,951 = 9,951 : x
  2. Step 2: Convert to fraction form
    7,642/9,951 = 9,951/x
  3. Step 3: Cross multiply
    7,642x = 9,951 × 9,951
  4. Step 4: Simplify right side
    7,642x = 99,022,401
  5. Step 5: Solve for x
    x = 99,022,401/7,642
  6. Step 6: Final answer
    x = 12,957.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.