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Finding the Third Proportional to 75,978 and 156,813

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Solution

The third proportional to 75,978 and 156,813 is: 323,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 156,813 = 156,813 : x
  2. Step 2: Convert to fraction form
    75,978/156,813 = 156,813/x
  3. Step 3: Cross multiply
    75,978x = 156,813 × 156,813
  4. Step 4: Simplify right side
    75,978x = 24,590,316,969
  5. Step 5: Solve for x
    x = 24,590,316,969/75,978
  6. Step 6: Final answer
    x = 323,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.