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Finding the Third Proportional to 135,459 and 210,944.25

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Solution

The third proportional to 135,459 and 210,944.25 is: 328,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459 : 210,944.25 = 210,944.25 : x
  2. Step 2: Convert to fraction form
    135,459/210,944.25 = 210,944.25/x
  3. Step 3: Cross multiply
    135,459x = 210,944.25 × 210,944.25
  4. Step 4: Simplify right side
    135,459x = 44,497,476,608.06
  5. Step 5: Solve for x
    x = 44,497,476,608.06/135,459
  6. Step 6: Final answer
    x = 328,494.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.