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Finding the Third Proportional to 181,491 and 280,391

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Solution

The third proportional to 181,491 and 280,391 is: 433,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,491 : 280,391 = 280,391 : x
  2. Step 2: Convert to fraction form
    181,491/280,391 = 280,391/x
  3. Step 3: Cross multiply
    181,491x = 280,391 × 280,391
  4. Step 4: Simplify right side
    181,491x = 78,619,112,881
  5. Step 5: Solve for x
    x = 78,619,112,881/181,491
  6. Step 6: Final answer
    x = 433,184.64

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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.