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Finding the Third Proportional to 134,630 and 211,212

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Solution

The third proportional to 134,630 and 211,212 is: 331,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,630 : 211,212 = 211,212 : x
  2. Step 2: Convert to fraction form
    134,630/211,212 = 211,212/x
  3. Step 3: Cross multiply
    134,630x = 211,212 × 211,212
  4. Step 4: Simplify right side
    134,630x = 44,610,508,944
  5. Step 5: Solve for x
    x = 44,610,508,944/134,630
  6. Step 6: Final answer
    x = 331,356.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.