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Finding the Third Proportional to 86,490 and 189,375

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Solution

The third proportional to 86,490 and 189,375 is: 414,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 189,375 = 189,375 : x
  2. Step 2: Convert to fraction form
    86,490/189,375 = 189,375/x
  3. Step 3: Cross multiply
    86,490x = 189,375 × 189,375
  4. Step 4: Simplify right side
    86,490x = 35,862,890,625
  5. Step 5: Solve for x
    x = 35,862,890,625/86,490
  6. Step 6: Final answer
    x = 414,647.83

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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.