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Finding the Third Proportional to 86,411 and 133,302

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Solution

The third proportional to 86,411 and 133,302 is: 205,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,411 : 133,302 = 133,302 : x
  2. Step 2: Convert to fraction form
    86,411/133,302 = 133,302/x
  3. Step 3: Cross multiply
    86,411x = 133,302 × 133,302
  4. Step 4: Simplify right side
    86,411x = 17,769,423,204
  5. Step 5: Solve for x
    x = 17,769,423,204/86,411
  6. Step 6: Final answer
    x = 205,638.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.