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Finding the Third Proportional to 40,509 and 84,267

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Solution

The third proportional to 40,509 and 84,267 is: 175,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509 : 84,267 = 84,267 : x
  2. Step 2: Convert to fraction form
    40,509/84,267 = 84,267/x
  3. Step 3: Cross multiply
    40,509x = 84,267 × 84,267
  4. Step 4: Simplify right side
    40,509x = 7,100,927,289
  5. Step 5: Solve for x
    x = 7,100,927,289/40,509
  6. Step 6: Final answer
    x = 175,292.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.