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Finding the Third Proportional to 81,238 and 121,178

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Solution

The third proportional to 81,238 and 121,178 is: 180,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,238 : 121,178 = 121,178 : x
  2. Step 2: Convert to fraction form
    81,238/121,178 = 121,178/x
  3. Step 3: Cross multiply
    81,238x = 121,178 × 121,178
  4. Step 4: Simplify right side
    81,238x = 14,684,107,684
  5. Step 5: Solve for x
    x = 14,684,107,684/81,238
  6. Step 6: Final answer
    x = 180,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.