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Finding the Third Proportional to 138,775.78 and 302,610.94

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Solution

The third proportional to 138,775.78 and 302,610.94 is: 659,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,775.78 : 302,610.94 = 302,610.94 : x
  2. Step 2: Convert to fraction form
    138,775.78/302,610.94 = 302,610.94/x
  3. Step 3: Cross multiply
    138,775.78x = 302,610.94 × 302,610.94
  4. Step 4: Simplify right side
    138,775.78x = 91,573,379,494.63
  5. Step 5: Solve for x
    x = 91,573,379,494.63/138,775.78
  6. Step 6: Final answer
    x = 659,865.71

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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.