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Finding the Third Proportional to 79,860 and 175,272

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Solution

The third proportional to 79,860 and 175,272 is: 384,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,860 : 175,272 = 175,272 : x
  2. Step 2: Convert to fraction form
    79,860/175,272 = 175,272/x
  3. Step 3: Cross multiply
    79,860x = 175,272 × 175,272
  4. Step 4: Simplify right side
    79,860x = 30,720,273,984
  5. Step 5: Solve for x
    x = 30,720,273,984/79,860
  6. Step 6: Final answer
    x = 384,676.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.