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Finding the Third Proportional to 135,125 and 312,824

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Solution

The third proportional to 135,125 and 312,824 is: 724,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125 : 312,824 = 312,824 : x
  2. Step 2: Convert to fraction form
    135,125/312,824 = 312,824/x
  3. Step 3: Cross multiply
    135,125x = 312,824 × 312,824
  4. Step 4: Simplify right side
    135,125x = 97,858,854,976
  5. Step 5: Solve for x
    x = 97,858,854,976/135,125
  6. Step 6: Final answer
    x = 724,209.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.