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Finding the Third Proportional to 86,490 and 186,318

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Solution

The third proportional to 86,490 and 186,318 is: 401,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 186,318 = 186,318 : x
  2. Step 2: Convert to fraction form
    86,490/186,318 = 186,318/x
  3. Step 3: Cross multiply
    86,490x = 186,318 × 186,318
  4. Step 4: Simplify right side
    86,490x = 34,714,397,124
  5. Step 5: Solve for x
    x = 34,714,397,124/86,490
  6. Step 6: Final answer
    x = 401,368.91

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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.