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Finding the Third Proportional to 40,293 and 87,705

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Solution

The third proportional to 40,293 and 87,705 is: 190,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293 : 87,705 = 87,705 : x
  2. Step 2: Convert to fraction form
    40,293/87,705 = 87,705/x
  3. Step 3: Cross multiply
    40,293x = 87,705 × 87,705
  4. Step 4: Simplify right side
    40,293x = 7,692,167,025
  5. Step 5: Solve for x
    x = 7,692,167,025/40,293
  6. Step 6: Final answer
    x = 190,905.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.