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Finding the Third Proportional to 86,511 and 189,420

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Solution

The third proportional to 86,511 and 189,420 is: 414,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,511 : 189,420 = 189,420 : x
  2. Step 2: Convert to fraction form
    86,511/189,420 = 189,420/x
  3. Step 3: Cross multiply
    86,511x = 189,420 × 189,420
  4. Step 4: Simplify right side
    86,511x = 35,879,936,400
  5. Step 5: Solve for x
    x = 35,879,936,400/86,511
  6. Step 6: Final answer
    x = 414,744.21

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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.