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Finding the Third Proportional to 135,840 and 321,152

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Solution

The third proportional to 135,840 and 321,152 is: 759,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,840 : 321,152 = 321,152 : x
  2. Step 2: Convert to fraction form
    135,840/321,152 = 321,152/x
  3. Step 3: Cross multiply
    135,840x = 321,152 × 321,152
  4. Step 4: Simplify right side
    135,840x = 103,138,607,104
  5. Step 5: Solve for x
    x = 103,138,607,104/135,840
  6. Step 6: Final answer
    x = 759,265.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.