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Finding the Third Proportional to 135,200 and 312,978

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Solution

The third proportional to 135,200 and 312,978 is: 724,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200 : 312,978 = 312,978 : x
  2. Step 2: Convert to fraction form
    135,200/312,978 = 312,978/x
  3. Step 3: Cross multiply
    135,200x = 312,978 × 312,978
  4. Step 4: Simplify right side
    135,200x = 97,955,228,484
  5. Step 5: Solve for x
    x = 97,955,228,484/135,200
  6. Step 6: Final answer
    x = 724,520.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.