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Finding the Third Proportional to 86,642 and 189,590

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Solution

The third proportional to 86,642 and 189,590 is: 414,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642 : 189,590 = 189,590 : x
  2. Step 2: Convert to fraction form
    86,642/189,590 = 189,590/x
  3. Step 3: Cross multiply
    86,642x = 189,590 × 189,590
  4. Step 4: Simplify right side
    86,642x = 35,944,368,100
  5. Step 5: Solve for x
    x = 35,944,368,100/86,642
  6. Step 6: Final answer
    x = 414,860.78

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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.