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Finding the Third Proportional to 130,020.75 and 279,723.75

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Solution

The third proportional to 130,020.75 and 279,723.75 is: 601,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020.75 : 279,723.75 = 279,723.75 : x
  2. Step 2: Convert to fraction form
    130,020.75/279,723.75 = 279,723.75/x
  3. Step 3: Cross multiply
    130,020.75x = 279,723.75 × 279,723.75
  4. Step 4: Simplify right side
    130,020.75x = 78,245,376,314.06
  5. Step 5: Solve for x
    x = 78,245,376,314.06/130,020.75
  6. Step 6: Final answer
    x = 601,791.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.