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Finding the Third Proportional to 138,615.75 and 202,982.06

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Solution

The third proportional to 138,615.75 and 202,982.06 is: 297,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.75 : 202,982.06 = 202,982.06 : x
  2. Step 2: Convert to fraction form
    138,615.75/202,982.06 = 202,982.06/x
  3. Step 3: Cross multiply
    138,615.75x = 202,982.06 × 202,982.06
  4. Step 4: Simplify right side
    138,615.75x = 41,201,717,696.75
  5. Step 5: Solve for x
    x = 41,201,717,696.75/138,615.75
  6. Step 6: Final answer
    x = 297,236.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.