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Finding the Third Proportional to 81,684 and 130,302

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Solution

The third proportional to 81,684 and 130,302 is: 207,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 130,302 = 130,302 : x
  2. Step 2: Convert to fraction form
    81,684/130,302 = 130,302/x
  3. Step 3: Cross multiply
    81,684x = 130,302 × 130,302
  4. Step 4: Simplify right side
    81,684x = 16,978,611,204
  5. Step 5: Solve for x
    x = 16,978,611,204/81,684
  6. Step 6: Final answer
    x = 207,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.