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Finding the Third Proportional to 135,970 and 210,015

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Solution

The third proportional to 135,970 and 210,015 is: 324,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,970 : 210,015 = 210,015 : x
  2. Step 2: Convert to fraction form
    135,970/210,015 = 210,015/x
  3. Step 3: Cross multiply
    135,970x = 210,015 × 210,015
  4. Step 4: Simplify right side
    135,970x = 44,106,300,225
  5. Step 5: Solve for x
    x = 44,106,300,225/135,970
  6. Step 6: Final answer
    x = 324,382.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.