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Finding the Third Proportional to 86,585 and 185,635

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Solution

The third proportional to 86,585 and 185,635 is: 397,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585 : 185,635 = 185,635 : x
  2. Step 2: Convert to fraction form
    86,585/185,635 = 185,635/x
  3. Step 3: Cross multiply
    86,585x = 185,635 × 185,635
  4. Step 4: Simplify right side
    86,585x = 34,460,353,225
  5. Step 5: Solve for x
    x = 34,460,353,225/86,585
  6. Step 6: Final answer
    x = 397,994.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.