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Finding the Third Proportional to 112,129 and 186,875

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Solution

The third proportional to 112,129 and 186,875 is: 311,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,129 : 186,875 = 186,875 : x
  2. Step 2: Convert to fraction form
    112,129/186,875 = 186,875/x
  3. Step 3: Cross multiply
    112,129x = 186,875 × 186,875
  4. Step 4: Simplify right side
    112,129x = 34,922,265,625
  5. Step 5: Solve for x
    x = 34,922,265,625/112,129
  6. Step 6: Final answer
    x = 311,447.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.