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Finding the Third Proportional to 135,234 and 210,221

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Solution

The third proportional to 135,234 and 210,221 is: 326,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,234 : 210,221 = 210,221 : x
  2. Step 2: Convert to fraction form
    135,234/210,221 = 210,221/x
  3. Step 3: Cross multiply
    135,234x = 210,221 × 210,221
  4. Step 4: Simplify right side
    135,234x = 44,192,868,841
  5. Step 5: Solve for x
    x = 44,192,868,841/135,234
  6. Step 6: Final answer
    x = 326,788.15

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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.