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Finding the Third Proportional to 86,580 and 189,042

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Solution

The third proportional to 86,580 and 189,042 is: 412,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 189,042 = 189,042 : x
  2. Step 2: Convert to fraction form
    86,580/189,042 = 189,042/x
  3. Step 3: Cross multiply
    86,580x = 189,042 × 189,042
  4. Step 4: Simplify right side
    86,580x = 35,736,877,764
  5. Step 5: Solve for x
    x = 35,736,877,764/86,580
  6. Step 6: Final answer
    x = 412,761.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.