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Finding the Third Proportional to 129,462 and 174,912

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Solution

The third proportional to 129,462 and 174,912 is: 236,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,462 : 174,912 = 174,912 : x
  2. Step 2: Convert to fraction form
    129,462/174,912 = 174,912/x
  3. Step 3: Cross multiply
    129,462x = 174,912 × 174,912
  4. Step 4: Simplify right side
    129,462x = 30,594,207,744
  5. Step 5: Solve for x
    x = 30,594,207,744/129,462
  6. Step 6: Final answer
    x = 236,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.