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Finding the Third Proportional to 135,456 and 311,531

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Solution

The third proportional to 135,456 and 311,531 is: 716,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456 : 311,531 = 311,531 : x
  2. Step 2: Convert to fraction form
    135,456/311,531 = 311,531/x
  3. Step 3: Cross multiply
    135,456x = 311,531 × 311,531
  4. Step 4: Simplify right side
    135,456x = 97,051,563,961
  5. Step 5: Solve for x
    x = 97,051,563,961/135,456
  6. Step 6: Final answer
    x = 716,480.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.