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Finding the Third Proportional to 86,940 and 183,220.31

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Solution

The third proportional to 86,940 and 183,220.31 is: 386,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,940 : 183,220.31 = 183,220.31 : x
  2. Step 2: Convert to fraction form
    86,940/183,220.31 = 183,220.31/x
  3. Step 3: Cross multiply
    86,940x = 183,220.31 × 183,220.31
  4. Step 4: Simplify right side
    86,940x = 33,569,682,912.60
  5. Step 5: Solve for x
    x = 33,569,682,912.60/86,940
  6. Step 6: Final answer
    x = 386,124.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.