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Finding the Third Proportional to 86,658 and 186,212

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Solution

The third proportional to 86,658 and 186,212 is: 400,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,658 : 186,212 = 186,212 : x
  2. Step 2: Convert to fraction form
    86,658/186,212 = 186,212/x
  3. Step 3: Cross multiply
    86,658x = 186,212 × 186,212
  4. Step 4: Simplify right side
    86,658x = 34,674,908,944
  5. Step 5: Solve for x
    x = 34,674,908,944/86,658
  6. Step 6: Final answer
    x = 400,135.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.