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Finding the Third Proportional to 199,963.69 and 438,670.69

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Solution

The third proportional to 199,963.69 and 438,670.69 is: 962,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,963.69 : 438,670.69 = 438,670.69 : x
  2. Step 2: Convert to fraction form
    199,963.69/438,670.69 = 438,670.69/x
  3. Step 3: Cross multiply
    199,963.69x = 438,670.69 × 438,670.69
  4. Step 4: Simplify right side
    199,963.69x = 192,431,972,071.72
  5. Step 5: Solve for x
    x = 192,431,972,071.72/199,963.69
  6. Step 6: Final answer
    x = 962,334.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.