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Finding the Third Proportional to 129,618 and 199,955

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Solution

The third proportional to 129,618 and 199,955 is: 308,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,618 : 199,955 = 199,955 : x
  2. Step 2: Convert to fraction form
    129,618/199,955 = 199,955/x
  3. Step 3: Cross multiply
    129,618x = 199,955 × 199,955
  4. Step 4: Simplify right side
    129,618x = 39,982,002,025
  5. Step 5: Solve for x
    x = 39,982,002,025/129,618
  6. Step 6: Final answer
    x = 308,460.26

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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.