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Finding the Third Proportional to 204,950.25 and 432,180.56

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Solution

The third proportional to 204,950.25 and 432,180.56 is: 911,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,950.25 : 432,180.56 = 432,180.56 : x
  2. Step 2: Convert to fraction form
    204,950.25/432,180.56 = 432,180.56/x
  3. Step 3: Cross multiply
    204,950.25x = 432,180.56 × 432,180.56
  4. Step 4: Simplify right side
    204,950.25x = 186,780,038,602.82
  5. Step 5: Solve for x
    x = 186,780,038,602.82/204,950.25
  6. Step 6: Final answer
    x = 911,343.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.