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Finding the Third Proportional to 129,633 and 211,677

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Solution

The third proportional to 129,633 and 211,677 is: 345,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,633 : 211,677 = 211,677 : x
  2. Step 2: Convert to fraction form
    129,633/211,677 = 211,677/x
  3. Step 3: Cross multiply
    129,633x = 211,677 × 211,677
  4. Step 4: Simplify right side
    129,633x = 44,807,152,329
  5. Step 5: Solve for x
    x = 44,807,152,329/129,633
  6. Step 6: Final answer
    x = 345,646.19

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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.