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Finding the Third Proportional to 138,570.75 and 300,651.75

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Solution

The third proportional to 138,570.75 and 300,651.75 is: 652,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,570.75 : 300,651.75 = 300,651.75 : x
  2. Step 2: Convert to fraction form
    138,570.75/300,651.75 = 300,651.75/x
  3. Step 3: Cross multiply
    138,570.75x = 300,651.75 × 300,651.75
  4. Step 4: Simplify right side
    138,570.75x = 90,391,474,778.06
  5. Step 5: Solve for x
    x = 90,391,474,778.06/138,570.75
  6. Step 6: Final answer
    x = 652,312.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.