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Finding the Third Proportional to 129,610 and 211,641

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Solution

The third proportional to 129,610 and 211,641 is: 345,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610 : 211,641 = 211,641 : x
  2. Step 2: Convert to fraction form
    129,610/211,641 = 211,641/x
  3. Step 3: Cross multiply
    129,610x = 211,641 × 211,641
  4. Step 4: Simplify right side
    129,610x = 44,791,912,881
  5. Step 5: Solve for x
    x = 44,791,912,881/129,610
  6. Step 6: Final answer
    x = 345,589.95

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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.