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Finding the Third Proportional to 138,013 and 295,699

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Solution

The third proportional to 138,013 and 295,699 is: 633,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,013 : 295,699 = 295,699 : x
  2. Step 2: Convert to fraction form
    138,013/295,699 = 295,699/x
  3. Step 3: Cross multiply
    138,013x = 295,699 × 295,699
  4. Step 4: Simplify right side
    138,013x = 87,437,898,601
  5. Step 5: Solve for x
    x = 87,437,898,601/138,013
  6. Step 6: Final answer
    x = 633,548.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.