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Finding the Third Proportional to 66,978 and 90,961.50

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Solution

The third proportional to 66,978 and 90,961.50 is: 123,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 90,961.50 = 90,961.50 : x
  2. Step 2: Convert to fraction form
    66,978/90,961.50 = 90,961.50/x
  3. Step 3: Cross multiply
    66,978x = 90,961.50 × 90,961.50
  4. Step 4: Simplify right side
    66,978x = 8,273,994,482.25
  5. Step 5: Solve for x
    x = 8,273,994,482.25/66,978
  6. Step 6: Final answer
    x = 123,533.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.