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Finding the Third Proportional to 181,309 and 254,872

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Solution

The third proportional to 181,309 and 254,872 is: 358,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,309 : 254,872 = 254,872 : x
  2. Step 2: Convert to fraction form
    181,309/254,872 = 254,872/x
  3. Step 3: Cross multiply
    181,309x = 254,872 × 254,872
  4. Step 4: Simplify right side
    181,309x = 64,959,736,384
  5. Step 5: Solve for x
    x = 64,959,736,384/181,309
  6. Step 6: Final answer
    x = 358,281.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.