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Finding the Third Proportional to 311,761 and 753,806.50

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Solution

The third proportional to 311,761 and 753,806.50 is: 1,822,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761 : 753,806.50 = 753,806.50 : x
  2. Step 2: Convert to fraction form
    311,761/753,806.50 = 753,806.50/x
  3. Step 3: Cross multiply
    311,761x = 753,806.50 × 753,806.50
  4. Step 4: Simplify right side
    311,761x = 568,224,239,442.25
  5. Step 5: Solve for x
    x = 568,224,239,442.25/311,761
  6. Step 6: Final answer
    x = 1,822,627.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.