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Finding the Third Proportional to 180,162 and 278,984

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Solution

The third proportional to 180,162 and 278,984 is: 432,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,162 : 278,984 = 278,984 : x
  2. Step 2: Convert to fraction form
    180,162/278,984 = 278,984/x
  3. Step 3: Cross multiply
    180,162x = 278,984 × 278,984
  4. Step 4: Simplify right side
    180,162x = 77,832,072,256
  5. Step 5: Solve for x
    x = 77,832,072,256/180,162
  6. Step 6: Final answer
    x = 432,011.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.