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Finding the Third Proportional to 138,738.75 and 208,927.88

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Solution

The third proportional to 138,738.75 and 208,927.88 is: 314,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,738.75 : 208,927.88 = 208,927.88 : x
  2. Step 2: Convert to fraction form
    138,738.75/208,927.88 = 208,927.88/x
  3. Step 3: Cross multiply
    138,738.75x = 208,927.88 × 208,927.88
  4. Step 4: Simplify right side
    138,738.75x = 43,650,856,952.02
  5. Step 5: Solve for x
    x = 43,650,856,952.02/138,738.75
  6. Step 6: Final answer
    x = 314,626.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.