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Finding the Third Proportional to 79,013 and 172,228

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Solution

The third proportional to 79,013 and 172,228 is: 375,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,013 : 172,228 = 172,228 : x
  2. Step 2: Convert to fraction form
    79,013/172,228 = 172,228/x
  3. Step 3: Cross multiply
    79,013x = 172,228 × 172,228
  4. Step 4: Simplify right side
    79,013x = 29,662,483,984
  5. Step 5: Solve for x
    x = 29,662,483,984/79,013
  6. Step 6: Final answer
    x = 375,412.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.