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Finding the Third Proportional to 122,978 and 264,637

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Solution

The third proportional to 122,978 and 264,637 is: 569,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978 : 264,637 = 264,637 : x
  2. Step 2: Convert to fraction form
    122,978/264,637 = 264,637/x
  3. Step 3: Cross multiply
    122,978x = 264,637 × 264,637
  4. Step 4: Simplify right side
    122,978x = 70,032,741,769
  5. Step 5: Solve for x
    x = 70,032,741,769/122,978
  6. Step 6: Final answer
    x = 569,473.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.