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Finding the Third Proportional to 86,458 and 178,916

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Solution

The third proportional to 86,458 and 178,916 is: 370,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458 : 178,916 = 178,916 : x
  2. Step 2: Convert to fraction form
    86,458/178,916 = 178,916/x
  3. Step 3: Cross multiply
    86,458x = 178,916 × 178,916
  4. Step 4: Simplify right side
    86,458x = 32,010,935,056
  5. Step 5: Solve for x
    x = 32,010,935,056/86,458
  6. Step 6: Final answer
    x = 370,248.39

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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.