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Finding the Third Proportional to 138,495.75 and 306,054.75

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Solution

The third proportional to 138,495.75 and 306,054.75 is: 676,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,495.75 : 306,054.75 = 306,054.75 : x
  2. Step 2: Convert to fraction form
    138,495.75/306,054.75 = 306,054.75/x
  3. Step 3: Cross multiply
    138,495.75x = 306,054.75 × 306,054.75
  4. Step 4: Simplify right side
    138,495.75x = 93,669,509,997.56
  5. Step 5: Solve for x
    x = 93,669,509,997.56/138,495.75
  6. Step 6: Final answer
    x = 676,334.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.