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Finding the Third Proportional to 138,525.38 and 300,696.38

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Solution

The third proportional to 138,525.38 and 300,696.38 is: 652,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,525.38 : 300,696.38 = 300,696.38 : x
  2. Step 2: Convert to fraction form
    138,525.38/300,696.38 = 300,696.38/x
  3. Step 3: Cross multiply
    138,525.38x = 300,696.38 × 300,696.38
  4. Step 4: Simplify right side
    138,525.38x = 90,418,309,938.14
  5. Step 5: Solve for x
    x = 90,418,309,938.14/138,525.38
  6. Step 6: Final answer
    x = 652,720.20

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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.