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Finding the Third Proportional to 134,636 and 211,222

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Solution

The third proportional to 134,636 and 211,222 is: 331,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,636 : 211,222 = 211,222 : x
  2. Step 2: Convert to fraction form
    134,636/211,222 = 211,222/x
  3. Step 3: Cross multiply
    134,636x = 211,222 × 211,222
  4. Step 4: Simplify right side
    134,636x = 44,614,733,284
  5. Step 5: Solve for x
    x = 44,614,733,284/134,636
  6. Step 6: Final answer
    x = 331,372.99

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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.