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Finding the Third Proportional to 177,819 and 272,668

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Solution

The third proportional to 177,819 and 272,668 is: 418,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,819 : 272,668 = 272,668 : x
  2. Step 2: Convert to fraction form
    177,819/272,668 = 272,668/x
  3. Step 3: Cross multiply
    177,819x = 272,668 × 272,668
  4. Step 4: Simplify right side
    177,819x = 74,347,838,224
  5. Step 5: Solve for x
    x = 74,347,838,224/177,819
  6. Step 6: Final answer
    x = 418,109.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.