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Finding the Third Proportional to 219,975.75 and 306,992.53

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Solution

The third proportional to 219,975.75 and 306,992.53 is: 428,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,975.75 : 306,992.53 = 306,992.53 : x
  2. Step 2: Convert to fraction form
    219,975.75/306,992.53 = 306,992.53/x
  3. Step 3: Cross multiply
    219,975.75x = 306,992.53 × 306,992.53
  4. Step 4: Simplify right side
    219,975.75x = 94,244,414,243.28
  5. Step 5: Solve for x
    x = 94,244,414,243.28/219,975.75
  6. Step 6: Final answer
    x = 428,430.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.