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Finding the Third Proportional to 120,509 and 254,562

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Solution

The third proportional to 120,509 and 254,562 is: 537,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509 : 254,562 = 254,562 : x
  2. Step 2: Convert to fraction form
    120,509/254,562 = 254,562/x
  3. Step 3: Cross multiply
    120,509x = 254,562 × 254,562
  4. Step 4: Simplify right side
    120,509x = 64,801,811,844
  5. Step 5: Solve for x
    x = 64,801,811,844/120,509
  6. Step 6: Final answer
    x = 537,734.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.