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Finding the Third Proportional to 78,176 and 121,224

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Solution

The third proportional to 78,176 and 121,224 is: 187,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176 : 121,224 = 121,224 : x
  2. Step 2: Convert to fraction form
    78,176/121,224 = 121,224/x
  3. Step 3: Cross multiply
    78,176x = 121,224 × 121,224
  4. Step 4: Simplify right side
    78,176x = 14,695,258,176
  5. Step 5: Solve for x
    x = 14,695,258,176/78,176
  6. Step 6: Final answer
    x = 187,976.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.