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Finding the Third Proportional to 181,551 and 279,982

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Solution

The third proportional to 181,551 and 279,982 is: 431,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,551 : 279,982 = 279,982 : x
  2. Step 2: Convert to fraction form
    181,551/279,982 = 279,982/x
  3. Step 3: Cross multiply
    181,551x = 279,982 × 279,982
  4. Step 4: Simplify right side
    181,551x = 78,389,920,324
  5. Step 5: Solve for x
    x = 78,389,920,324/181,551
  6. Step 6: Final answer
    x = 431,779.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.