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Finding the Third Proportional to 68,178 and 148,986

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Solution

The third proportional to 68,178 and 148,986 is: 325,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178 : 148,986 = 148,986 : x
  2. Step 2: Convert to fraction form
    68,178/148,986 = 148,986/x
  3. Step 3: Cross multiply
    68,178x = 148,986 × 148,986
  4. Step 4: Simplify right side
    68,178x = 22,196,828,196
  5. Step 5: Solve for x
    x = 22,196,828,196/68,178
  6. Step 6: Final answer
    x = 325,571.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.