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Finding the Third Proportional to 192,600 and 463,990.50

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Solution

The third proportional to 192,600 and 463,990.50 is: 1,117,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,600 : 463,990.50 = 463,990.50 : x
  2. Step 2: Convert to fraction form
    192,600/463,990.50 = 463,990.50/x
  3. Step 3: Cross multiply
    192,600x = 463,990.50 × 463,990.50
  4. Step 4: Simplify right side
    192,600x = 215,287,184,090.25
  5. Step 5: Solve for x
    x = 215,287,184,090.25/192,600
  6. Step 6: Final answer
    x = 1,117,794.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.