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Finding the Third Proportional to 115,971.75 and 206,428.50

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Solution

The third proportional to 115,971.75 and 206,428.50 is: 367,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971.75 : 206,428.50 = 206,428.50 : x
  2. Step 2: Convert to fraction form
    115,971.75/206,428.50 = 206,428.50/x
  3. Step 3: Cross multiply
    115,971.75x = 206,428.50 × 206,428.50
  4. Step 4: Simplify right side
    115,971.75x = 42,612,725,612.25
  5. Step 5: Solve for x
    x = 42,612,725,612.25/115,971.75
  6. Step 6: Final answer
    x = 367,440.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.