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Finding the Third Proportional to 86,489.02 and 185,912.09

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Solution

The third proportional to 86,489.02 and 185,912.09 is: 399,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,489.02 : 185,912.09 = 185,912.09 : x
  2. Step 2: Convert to fraction form
    86,489.02/185,912.09 = 185,912.09/x
  3. Step 3: Cross multiply
    86,489.02x = 185,912.09 × 185,912.09
  4. Step 4: Simplify right side
    86,489.02x = 34,563,303,697.63
  5. Step 5: Solve for x
    x = 34,563,303,697.63/86,489.02
  6. Step 6: Final answer
    x = 399,626.51

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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.