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Finding the Third Proportional to 135,126 and 210,174

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Solution

The third proportional to 135,126 and 210,174 is: 326,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,126 : 210,174 = 210,174 : x
  2. Step 2: Convert to fraction form
    135,126/210,174 = 210,174/x
  3. Step 3: Cross multiply
    135,126x = 210,174 × 210,174
  4. Step 4: Simplify right side
    135,126x = 44,173,110,276
  5. Step 5: Solve for x
    x = 44,173,110,276/135,126
  6. Step 6: Final answer
    x = 326,903.11

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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.