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Finding the Third Proportional to 72,208 and 163,991.50

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Solution

The third proportional to 72,208 and 163,991.50 is: 372,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,208 : 163,991.50 = 163,991.50 : x
  2. Step 2: Convert to fraction form
    72,208/163,991.50 = 163,991.50/x
  3. Step 3: Cross multiply
    72,208x = 163,991.50 × 163,991.50
  4. Step 4: Simplify right side
    72,208x = 26,893,212,072.25
  5. Step 5: Solve for x
    x = 26,893,212,072.25/72,208
  6. Step 6: Final answer
    x = 372,440.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.