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Finding the Third Proportional to 86,442 and 178,884

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Solution

The third proportional to 86,442 and 178,884 is: 370,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442 : 178,884 = 178,884 : x
  2. Step 2: Convert to fraction form
    86,442/178,884 = 178,884/x
  3. Step 3: Cross multiply
    86,442x = 178,884 × 178,884
  4. Step 4: Simplify right side
    86,442x = 31,999,485,456
  5. Step 5: Solve for x
    x = 31,999,485,456/86,442
  6. Step 6: Final answer
    x = 370,184.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.