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Finding the Third Proportional to 59,318 and 129,172

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Solution

The third proportional to 59,318 and 129,172 is: 281,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,318 : 129,172 = 129,172 : x
  2. Step 2: Convert to fraction form
    59,318/129,172 = 129,172/x
  3. Step 3: Cross multiply
    59,318x = 129,172 × 129,172
  4. Step 4: Simplify right side
    59,318x = 16,685,405,584
  5. Step 5: Solve for x
    x = 16,685,405,584/59,318
  6. Step 6: Final answer
    x = 281,287.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.