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Finding the Third Proportional to 192,783 and 301,476

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Solution

The third proportional to 192,783 and 301,476 is: 471,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783 : 301,476 = 301,476 : x
  2. Step 2: Convert to fraction form
    192,783/301,476 = 301,476/x
  3. Step 3: Cross multiply
    192,783x = 301,476 × 301,476
  4. Step 4: Simplify right side
    192,783x = 90,887,778,576
  5. Step 5: Solve for x
    x = 90,887,778,576/192,783
  6. Step 6: Final answer
    x = 471,451.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.