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Finding the Third Proportional to 125,978 and 190,967

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Solution

The third proportional to 125,978 and 190,967 is: 289,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,978 : 190,967 = 190,967 : x
  2. Step 2: Convert to fraction form
    125,978/190,967 = 190,967/x
  3. Step 3: Cross multiply
    125,978x = 190,967 × 190,967
  4. Step 4: Simplify right side
    125,978x = 36,468,395,089
  5. Step 5: Solve for x
    x = 36,468,395,089/125,978
  6. Step 6: Final answer
    x = 289,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.