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Finding the Third Proportional to 86,452 and 178,904

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Solution

The third proportional to 86,452 and 178,904 is: 370,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,452 : 178,904 = 178,904 : x
  2. Step 2: Convert to fraction form
    86,452/178,904 = 178,904/x
  3. Step 3: Cross multiply
    86,452x = 178,904 × 178,904
  4. Step 4: Simplify right side
    86,452x = 32,006,641,216
  5. Step 5: Solve for x
    x = 32,006,641,216/86,452
  6. Step 6: Final answer
    x = 370,224.42

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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.