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Finding the Third Proportional to 138,612.75 and 302,103

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Solution

The third proportional to 138,612.75 and 302,103 is: 658,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,612.75 : 302,103 = 302,103 : x
  2. Step 2: Convert to fraction form
    138,612.75/302,103 = 302,103/x
  3. Step 3: Cross multiply
    138,612.75x = 302,103 × 302,103
  4. Step 4: Simplify right side
    138,612.75x = 91,266,222,609
  5. Step 5: Solve for x
    x = 91,266,222,609/138,612.75
  6. Step 6: Final answer
    x = 658,425.89

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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.