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Finding the Third Proportional to 84,978 and 135,007

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Solution

The third proportional to 84,978 and 135,007 is: 214,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,978 : 135,007 = 135,007 : x
  2. Step 2: Convert to fraction form
    84,978/135,007 = 135,007/x
  3. Step 3: Cross multiply
    84,978x = 135,007 × 135,007
  4. Step 4: Simplify right side
    84,978x = 18,226,890,049
  5. Step 5: Solve for x
    x = 18,226,890,049/84,978
  6. Step 6: Final answer
    x = 214,489.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.