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Finding the Third Proportional to 40,729 and 86,282

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Solution

The third proportional to 40,729 and 86,282 is: 182,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729 : 86,282 = 86,282 : x
  2. Step 2: Convert to fraction form
    40,729/86,282 = 86,282/x
  3. Step 3: Cross multiply
    40,729x = 86,282 × 86,282
  4. Step 4: Simplify right side
    40,729x = 7,444,583,524
  5. Step 5: Solve for x
    x = 7,444,583,524/40,729
  6. Step 6: Final answer
    x = 182,783.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.