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Finding the Third Proportional to 126,144 and 272,889

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Solution

The third proportional to 126,144 and 272,889 is: 590,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 272,889 = 272,889 : x
  2. Step 2: Convert to fraction form
    126,144/272,889 = 272,889/x
  3. Step 3: Cross multiply
    126,144x = 272,889 × 272,889
  4. Step 4: Simplify right side
    126,144x = 74,468,406,321
  5. Step 5: Solve for x
    x = 74,468,406,321/126,144
  6. Step 6: Final answer
    x = 590,344.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.