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Finding the Third Proportional to 103,438.27 and 138,729.27

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Solution

The third proportional to 103,438.27 and 138,729.27 is: 186,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.27 : 138,729.27 = 138,729.27 : x
  2. Step 2: Convert to fraction form
    103,438.27/138,729.27 = 138,729.27/x
  3. Step 3: Cross multiply
    103,438.27x = 138,729.27 × 138,729.27
  4. Step 4: Simplify right side
    103,438.27x = 19,245,810,224.67
  5. Step 5: Solve for x
    x = 19,245,810,224.67/103,438.27
  6. Step 6: Final answer
    x = 186,060.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.