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Finding the Third Proportional to 68,421 and 102,356

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Solution

The third proportional to 68,421 and 102,356 is: 153,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,421 : 102,356 = 102,356 : x
  2. Step 2: Convert to fraction form
    68,421/102,356 = 102,356/x
  3. Step 3: Cross multiply
    68,421x = 102,356 × 102,356
  4. Step 4: Simplify right side
    68,421x = 10,476,750,736
  5. Step 5: Solve for x
    x = 10,476,750,736/68,421
  6. Step 6: Final answer
    x = 153,121.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.