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Finding the Third Proportional to 108,978 and 163,575.75

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Solution

The third proportional to 108,978 and 163,575.75 is: 245,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,978 : 163,575.75 = 163,575.75 : x
  2. Step 2: Convert to fraction form
    108,978/163,575.75 = 163,575.75/x
  3. Step 3: Cross multiply
    108,978x = 163,575.75 × 163,575.75
  4. Step 4: Simplify right side
    108,978x = 26,757,025,988.06
  5. Step 5: Solve for x
    x = 26,757,025,988.06/108,978
  6. Step 6: Final answer
    x = 245,526.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.