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Finding the Third Proportional to 86,580 and 180,087

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Solution

The third proportional to 86,580 and 180,087 is: 374,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 180,087 = 180,087 : x
  2. Step 2: Convert to fraction form
    86,580/180,087 = 180,087/x
  3. Step 3: Cross multiply
    86,580x = 180,087 × 180,087
  4. Step 4: Simplify right side
    86,580x = 32,431,327,569
  5. Step 5: Solve for x
    x = 32,431,327,569/86,580
  6. Step 6: Final answer
    x = 374,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.