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Finding the Third Proportional to 81,492 and 122,778

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Solution

The third proportional to 81,492 and 122,778 is: 184,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,492 : 122,778 = 122,778 : x
  2. Step 2: Convert to fraction form
    81,492/122,778 = 122,778/x
  3. Step 3: Cross multiply
    81,492x = 122,778 × 122,778
  4. Step 4: Simplify right side
    81,492x = 15,074,437,284
  5. Step 5: Solve for x
    x = 15,074,437,284/81,492
  6. Step 6: Final answer
    x = 184,980.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.