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Finding the Third Proportional to 199,702.13 and 438,131.81

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Solution

The third proportional to 199,702.13 and 438,131.81 is: 961,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,702.13 : 438,131.81 = 438,131.81 : x
  2. Step 2: Convert to fraction form
    199,702.13/438,131.81 = 438,131.81/x
  3. Step 3: Cross multiply
    199,702.13x = 438,131.81 × 438,131.81
  4. Step 4: Simplify right side
    199,702.13x = 191,959,485,124.54
  5. Step 5: Solve for x
    x = 191,959,485,124.54/199,702.13
  6. Step 6: Final answer
    x = 961,229.06

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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.