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Finding the Third Proportional to 175,508 and 278,984

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Solution

The third proportional to 175,508 and 278,984 is: 443,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,508 : 278,984 = 278,984 : x
  2. Step 2: Convert to fraction form
    175,508/278,984 = 278,984/x
  3. Step 3: Cross multiply
    175,508x = 278,984 × 278,984
  4. Step 4: Simplify right side
    175,508x = 77,832,072,256
  5. Step 5: Solve for x
    x = 77,832,072,256/175,508
  6. Step 6: Final answer
    x = 443,467.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.