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Finding the Third Proportional to 200,143.69 and 437,223.09

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Solution

The third proportional to 200,143.69 and 437,223.09 is: 955,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,143.69 : 437,223.09 = 437,223.09 : x
  2. Step 2: Convert to fraction form
    200,143.69/437,223.09 = 437,223.09/x
  3. Step 3: Cross multiply
    200,143.69x = 437,223.09 × 437,223.09
  4. Step 4: Simplify right side
    200,143.69x = 191,164,033,708.32
  5. Step 5: Solve for x
    x = 191,164,033,708.32/200,143.69
  6. Step 6: Final answer
    x = 955,133.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.