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Finding the Third Proportional to 136,554 and 279,668

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Solution

The third proportional to 136,554 and 279,668 is: 572,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,554 : 279,668 = 279,668 : x
  2. Step 2: Convert to fraction form
    136,554/279,668 = 279,668/x
  3. Step 3: Cross multiply
    136,554x = 279,668 × 279,668
  4. Step 4: Simplify right side
    136,554x = 78,214,190,224
  5. Step 5: Solve for x
    x = 78,214,190,224/136,554
  6. Step 6: Final answer
    x = 572,771.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.