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Finding the Third Proportional to 84,078 and 181,278

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Solution

The third proportional to 84,078 and 181,278 is: 390,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 181,278 = 181,278 : x
  2. Step 2: Convert to fraction form
    84,078/181,278 = 181,278/x
  3. Step 3: Cross multiply
    84,078x = 181,278 × 181,278
  4. Step 4: Simplify right side
    84,078x = 32,861,713,284
  5. Step 5: Solve for x
    x = 32,861,713,284/84,078
  6. Step 6: Final answer
    x = 390,847.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.