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Finding the Third Proportional to 129,642 and 211,692

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Solution

The third proportional to 129,642 and 211,692 is: 345,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642 : 211,692 = 211,692 : x
  2. Step 2: Convert to fraction form
    129,642/211,692 = 211,692/x
  3. Step 3: Cross multiply
    129,642x = 211,692 × 211,692
  4. Step 4: Simplify right side
    129,642x = 44,813,502,864
  5. Step 5: Solve for x
    x = 44,813,502,864/129,642
  6. Step 6: Final answer
    x = 345,671.18

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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.