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Finding the Third Proportional to 135,118 and 312,766

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Solution

The third proportional to 135,118 and 312,766 is: 723,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,118 : 312,766 = 312,766 : x
  2. Step 2: Convert to fraction form
    135,118/312,766 = 312,766/x
  3. Step 3: Cross multiply
    135,118x = 312,766 × 312,766
  4. Step 4: Simplify right side
    135,118x = 97,822,570,756
  5. Step 5: Solve for x
    x = 97,822,570,756/135,118
  6. Step 6: Final answer
    x = 723,978.82

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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.