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Finding the Third Proportional to 71,893 and 156,205.75

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Solution

The third proportional to 71,893 and 156,205.75 is: 339,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893 : 156,205.75 = 156,205.75 : x
  2. Step 2: Convert to fraction form
    71,893/156,205.75 = 156,205.75/x
  3. Step 3: Cross multiply
    71,893x = 156,205.75 × 156,205.75
  4. Step 4: Simplify right side
    71,893x = 24,400,236,333.06
  5. Step 5: Solve for x
    x = 24,400,236,333.06/71,893
  6. Step 6: Final answer
    x = 339,396.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.