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Finding the Third Proportional to 7,909 and 12,343

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Solution

The third proportional to 7,909 and 12,343 is: 19,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 12,343 = 12,343 : x
  2. Step 2: Convert to fraction form
    7,909/12,343 = 12,343/x
  3. Step 3: Cross multiply
    7,909x = 12,343 × 12,343
  4. Step 4: Simplify right side
    7,909x = 152,349,649
  5. Step 5: Solve for x
    x = 152,349,649/7,909
  6. Step 6: Final answer
    x = 19,262.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.