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Finding the Third Proportional to 81,282 and 121,926

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Solution

The third proportional to 81,282 and 121,926 is: 182,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282 : 121,926 = 121,926 : x
  2. Step 2: Convert to fraction form
    81,282/121,926 = 121,926/x
  3. Step 3: Cross multiply
    81,282x = 121,926 × 121,926
  4. Step 4: Simplify right side
    81,282x = 14,865,949,476
  5. Step 5: Solve for x
    x = 14,865,949,476/81,282
  6. Step 6: Final answer
    x = 182,893.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.