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Finding the Third Proportional to 138,782.66 and 302,647.48

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Solution

The third proportional to 138,782.66 and 302,647.48 is: 659,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782.66 : 302,647.48 = 302,647.48 : x
  2. Step 2: Convert to fraction form
    138,782.66/302,647.48 = 302,647.48/x
  3. Step 3: Cross multiply
    138,782.66x = 302,647.48 × 302,647.48
  4. Step 4: Simplify right side
    138,782.66x = 91,595,498,616.30
  5. Step 5: Solve for x
    x = 91,595,498,616.30/138,782.66
  6. Step 6: Final answer
    x = 659,992.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.