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Finding the Third Proportional to 120,549 and 264,063

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Solution

The third proportional to 120,549 and 264,063 is: 578,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,549 : 264,063 = 264,063 : x
  2. Step 2: Convert to fraction form
    120,549/264,063 = 264,063/x
  3. Step 3: Cross multiply
    120,549x = 264,063 × 264,063
  4. Step 4: Simplify right side
    120,549x = 69,729,267,969
  5. Step 5: Solve for x
    x = 69,729,267,969/120,549
  6. Step 6: Final answer
    x = 578,430.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.