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Finding the Third Proportional to 121,856 and 182,784

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Solution

The third proportional to 121,856 and 182,784 is: 274,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,856 : 182,784 = 182,784 : x
  2. Step 2: Convert to fraction form
    121,856/182,784 = 182,784/x
  3. Step 3: Cross multiply
    121,856x = 182,784 × 182,784
  4. Step 4: Simplify right side
    121,856x = 33,409,990,656
  5. Step 5: Solve for x
    x = 33,409,990,656/121,856
  6. Step 6: Final answer
    x = 274,176

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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.