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Finding the Third Proportional to 181,872 and 392,682

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Solution

The third proportional to 181,872 and 392,682 is: 847,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,872 : 392,682 = 392,682 : x
  2. Step 2: Convert to fraction form
    181,872/392,682 = 392,682/x
  3. Step 3: Cross multiply
    181,872x = 392,682 × 392,682
  4. Step 4: Simplify right side
    181,872x = 154,199,153,124
  5. Step 5: Solve for x
    x = 154,199,153,124/181,872
  6. Step 6: Final answer
    x = 847,844.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.