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Finding the Third Proportional to 81,078 and 121,284

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Solution

The third proportional to 81,078 and 121,284 is: 181,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,078 : 121,284 = 121,284 : x
  2. Step 2: Convert to fraction form
    81,078/121,284 = 121,284/x
  3. Step 3: Cross multiply
    81,078x = 121,284 × 121,284
  4. Step 4: Simplify right side
    81,078x = 14,709,808,656
  5. Step 5: Solve for x
    x = 14,709,808,656/81,078
  6. Step 6: Final answer
    x = 181,427.87

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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.