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Finding the Third Proportional to 135,458 and 311,536

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Solution

The third proportional to 135,458 and 311,536 is: 716,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,458 : 311,536 = 311,536 : x
  2. Step 2: Convert to fraction form
    135,458/311,536 = 311,536/x
  3. Step 3: Cross multiply
    135,458x = 311,536 × 311,536
  4. Step 4: Simplify right side
    135,458x = 97,054,679,296
  5. Step 5: Solve for x
    x = 97,054,679,296/135,458
  6. Step 6: Final answer
    x = 716,492.78

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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.