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Finding the Third Proportional to 40,129 and 86,946

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Solution

The third proportional to 40,129 and 86,946 is: 188,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,129 : 86,946 = 86,946 : x
  2. Step 2: Convert to fraction form
    40,129/86,946 = 86,946/x
  3. Step 3: Cross multiply
    40,129x = 86,946 × 86,946
  4. Step 4: Simplify right side
    40,129x = 7,559,606,916
  5. Step 5: Solve for x
    x = 7,559,606,916/40,129
  6. Step 6: Final answer
    x = 188,382.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.