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Finding the Third Proportional to 86,799 and 135,273

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Solution

The third proportional to 86,799 and 135,273 is: 210,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,799 : 135,273 = 135,273 : x
  2. Step 2: Convert to fraction form
    86,799/135,273 = 135,273/x
  3. Step 3: Cross multiply
    86,799x = 135,273 × 135,273
  4. Step 4: Simplify right side
    86,799x = 18,298,784,529
  5. Step 5: Solve for x
    x = 18,298,784,529/86,799
  6. Step 6: Final answer
    x = 210,817.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.