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Finding the Third Proportional to 86,665 and 190,321

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Solution

The third proportional to 86,665 and 190,321 is: 417,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665 : 190,321 = 190,321 : x
  2. Step 2: Convert to fraction form
    86,665/190,321 = 190,321/x
  3. Step 3: Cross multiply
    86,665x = 190,321 × 190,321
  4. Step 4: Simplify right side
    86,665x = 36,222,083,041
  5. Step 5: Solve for x
    x = 36,222,083,041/86,665
  6. Step 6: Final answer
    x = 417,955.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.