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Finding the Third Proportional to 13,842.50 and 32,497

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Solution

The third proportional to 13,842.50 and 32,497 is: 76,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.50 : 32,497 = 32,497 : x
  2. Step 2: Convert to fraction form
    13,842.50/32,497 = 32,497/x
  3. Step 3: Cross multiply
    13,842.50x = 32,497 × 32,497
  4. Step 4: Simplify right side
    13,842.50x = 1,056,055,009
  5. Step 5: Solve for x
    x = 1,056,055,009/13,842.50
  6. Step 6: Final answer
    x = 76,290.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.