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Finding the Third Proportional to 199,552.50 and 428,631

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Solution

The third proportional to 199,552.50 and 428,631 is: 920,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,552.50 : 428,631 = 428,631 : x
  2. Step 2: Convert to fraction form
    199,552.50/428,631 = 428,631/x
  3. Step 3: Cross multiply
    199,552.50x = 428,631 × 428,631
  4. Step 4: Simplify right side
    199,552.50x = 183,724,534,161
  5. Step 5: Solve for x
    x = 183,724,534,161/199,552.50
  6. Step 6: Final answer
    x = 920,682.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.