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Finding the Third Proportional to 181,872 and 280,584

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Solution

The third proportional to 181,872 and 280,584 is: 432,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,872 : 280,584 = 280,584 : x
  2. Step 2: Convert to fraction form
    181,872/280,584 = 280,584/x
  3. Step 3: Cross multiply
    181,872x = 280,584 × 280,584
  4. Step 4: Simplify right side
    181,872x = 78,727,381,056
  5. Step 5: Solve for x
    x = 78,727,381,056/181,872
  6. Step 6: Final answer
    x = 432,872.47

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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.