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Finding the Third Proportional to 129,588 and 211,606

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Solution

The third proportional to 129,588 and 211,606 is: 345,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,588 : 211,606 = 211,606 : x
  2. Step 2: Convert to fraction form
    129,588/211,606 = 211,606/x
  3. Step 3: Cross multiply
    129,588x = 211,606 × 211,606
  4. Step 4: Simplify right side
    129,588x = 44,777,099,236
  5. Step 5: Solve for x
    x = 44,777,099,236/129,588
  6. Step 6: Final answer
    x = 345,534.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.