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Finding the Third Proportional to 68,402 and 109,275

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Solution

The third proportional to 68,402 and 109,275 is: 174,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402 : 109,275 = 109,275 : x
  2. Step 2: Convert to fraction form
    68,402/109,275 = 109,275/x
  3. Step 3: Cross multiply
    68,402x = 109,275 × 109,275
  4. Step 4: Simplify right side
    68,402x = 11,941,025,625
  5. Step 5: Solve for x
    x = 11,941,025,625/68,402
  6. Step 6: Final answer
    x = 174,571.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.