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Finding the Third Proportional to 86,623 and 186,638

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Solution

The third proportional to 86,623 and 186,638 is: 402,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,623 : 186,638 = 186,638 : x
  2. Step 2: Convert to fraction form
    86,623/186,638 = 186,638/x
  3. Step 3: Cross multiply
    86,623x = 186,638 × 186,638
  4. Step 4: Simplify right side
    86,623x = 34,833,743,044
  5. Step 5: Solve for x
    x = 34,833,743,044/86,623
  6. Step 6: Final answer
    x = 402,130.42

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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.