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Finding the Third Proportional to 117,312 and 188,880

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Solution

The third proportional to 117,312 and 188,880 is: 304,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,312 : 188,880 = 188,880 : x
  2. Step 2: Convert to fraction form
    117,312/188,880 = 188,880/x
  3. Step 3: Cross multiply
    117,312x = 188,880 × 188,880
  4. Step 4: Simplify right side
    117,312x = 35,675,654,400
  5. Step 5: Solve for x
    x = 35,675,654,400/117,312
  6. Step 6: Final answer
    x = 304,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.