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Finding the Third Proportional to 81,009 and 121,512.50

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Solution

The third proportional to 81,009 and 121,512.50 is: 182,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,009 : 121,512.50 = 121,512.50 : x
  2. Step 2: Convert to fraction form
    81,009/121,512.50 = 121,512.50/x
  3. Step 3: Cross multiply
    81,009x = 121,512.50 × 121,512.50
  4. Step 4: Simplify right side
    81,009x = 14,765,287,656.25
  5. Step 5: Solve for x
    x = 14,765,287,656.25/81,009
  6. Step 6: Final answer
    x = 182,267.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.