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Finding the Third Proportional to 219,978 and 433,577

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Solution

The third proportional to 219,978 and 433,577 is: 854,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978 : 433,577 = 433,577 : x
  2. Step 2: Convert to fraction form
    219,978/433,577 = 433,577/x
  3. Step 3: Cross multiply
    219,978x = 433,577 × 433,577
  4. Step 4: Simplify right side
    219,978x = 187,989,014,929
  5. Step 5: Solve for x
    x = 187,989,014,929/219,978
  6. Step 6: Final answer
    x = 854,580.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.