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Finding the Third Proportional to 192,311 and 420,815.50

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Solution

The third proportional to 192,311 and 420,815.50 is: 920,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,311 : 420,815.50 = 420,815.50 : x
  2. Step 2: Convert to fraction form
    192,311/420,815.50 = 420,815.50/x
  3. Step 3: Cross multiply
    192,311x = 420,815.50 × 420,815.50
  4. Step 4: Simplify right side
    192,311x = 177,085,685,040.25
  5. Step 5: Solve for x
    x = 177,085,685,040.25/192,311
  6. Step 6: Final answer
    x = 920,829.72

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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.