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Finding the Third Proportional to 129,626 and 199,971

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Solution

The third proportional to 129,626 and 199,971 is: 308,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,626 : 199,971 = 199,971 : x
  2. Step 2: Convert to fraction form
    129,626/199,971 = 199,971/x
  3. Step 3: Cross multiply
    129,626x = 199,971 × 199,971
  4. Step 4: Simplify right side
    129,626x = 39,988,400,841
  5. Step 5: Solve for x
    x = 39,988,400,841/129,626
  6. Step 6: Final answer
    x = 308,490.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.