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Finding the Third Proportional to 33,841.50 and 74,433

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Solution

The third proportional to 33,841.50 and 74,433 is: 163,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.50 : 74,433 = 74,433 : x
  2. Step 2: Convert to fraction form
    33,841.50/74,433 = 74,433/x
  3. Step 3: Cross multiply
    33,841.50x = 74,433 × 74,433
  4. Step 4: Simplify right side
    33,841.50x = 5,540,271,489
  5. Step 5: Solve for x
    x = 5,540,271,489/33,841.50
  6. Step 6: Final answer
    x = 163,712.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.