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Finding the Third Proportional to 59,978 and 89,979

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Solution

The third proportional to 59,978 and 89,979 is: 134,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,978 : 89,979 = 89,979 : x
  2. Step 2: Convert to fraction form
    59,978/89,979 = 89,979/x
  3. Step 3: Cross multiply
    59,978x = 89,979 × 89,979
  4. Step 4: Simplify right side
    59,978x = 8,096,220,441
  5. Step 5: Solve for x
    x = 8,096,220,441/59,978
  6. Step 6: Final answer
    x = 134,986.50

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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.