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Finding the Third Proportional to 86,130 and 189,234

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Solution

The third proportional to 86,130 and 189,234 is: 415,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,130 : 189,234 = 189,234 : x
  2. Step 2: Convert to fraction form
    86,130/189,234 = 189,234/x
  3. Step 3: Cross multiply
    86,130x = 189,234 × 189,234
  4. Step 4: Simplify right side
    86,130x = 35,809,506,756
  5. Step 5: Solve for x
    x = 35,809,506,756/86,130
  6. Step 6: Final answer
    x = 415,761.14

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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.