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Finding the Third Proportional to 192,135 and 306,940.50

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Solution

The third proportional to 192,135 and 306,940.50 is: 490,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,135 : 306,940.50 = 306,940.50 : x
  2. Step 2: Convert to fraction form
    192,135/306,940.50 = 306,940.50/x
  3. Step 3: Cross multiply
    192,135x = 306,940.50 × 306,940.50
  4. Step 4: Simplify right side
    192,135x = 94,212,470,540.25
  5. Step 5: Solve for x
    x = 94,212,470,540.25/192,135
  6. Step 6: Final answer
    x = 490,345.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.