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Finding the Third Proportional to 192,872 and 417,820

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Solution

The third proportional to 192,872 and 417,820 is: 905,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,872 : 417,820 = 417,820 : x
  2. Step 2: Convert to fraction form
    192,872/417,820 = 417,820/x
  3. Step 3: Cross multiply
    192,872x = 417,820 × 417,820
  4. Step 4: Simplify right side
    192,872x = 174,573,552,400
  5. Step 5: Solve for x
    x = 174,573,552,400/192,872
  6. Step 6: Final answer
    x = 905,126.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.