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Finding the Third Proportional to 181,457 and 272,367

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Solution

The third proportional to 181,457 and 272,367 is: 408,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,457 : 272,367 = 272,367 : x
  2. Step 2: Convert to fraction form
    181,457/272,367 = 272,367/x
  3. Step 3: Cross multiply
    181,457x = 272,367 × 272,367
  4. Step 4: Simplify right side
    181,457x = 74,183,782,689
  5. Step 5: Solve for x
    x = 74,183,782,689/181,457
  6. Step 6: Final answer
    x = 408,822.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.