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Finding the Third Proportional to 8,391 and 12,343

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Solution

The third proportional to 8,391 and 12,343 is: 18,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391 : 12,343 = 12,343 : x
  2. Step 2: Convert to fraction form
    8,391/12,343 = 12,343/x
  3. Step 3: Cross multiply
    8,391x = 12,343 × 12,343
  4. Step 4: Simplify right side
    8,391x = 152,349,649
  5. Step 5: Solve for x
    x = 152,349,649/8,391
  6. Step 6: Final answer
    x = 18,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.