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Finding the Third Proportional to 135,210 and 210,189

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Solution

The third proportional to 135,210 and 210,189 is: 326,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,210 : 210,189 = 210,189 : x
  2. Step 2: Convert to fraction form
    135,210/210,189 = 210,189/x
  3. Step 3: Cross multiply
    135,210x = 210,189 × 210,189
  4. Step 4: Simplify right side
    135,210x = 44,179,415,721
  5. Step 5: Solve for x
    x = 44,179,415,721/135,210
  6. Step 6: Final answer
    x = 326,746.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.