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Finding the Third Proportional to 86,412 and 189,435

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Solution

The third proportional to 86,412 and 189,435 is: 415,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,412 : 189,435 = 189,435 : x
  2. Step 2: Convert to fraction form
    86,412/189,435 = 189,435/x
  3. Step 3: Cross multiply
    86,412x = 189,435 × 189,435
  4. Step 4: Simplify right side
    86,412x = 35,885,619,225
  5. Step 5: Solve for x
    x = 35,885,619,225/86,412
  6. Step 6: Final answer
    x = 415,285.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.