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Finding the Third Proportional to 120,219 and 256,524

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Solution

The third proportional to 120,219 and 256,524 is: 547,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219 : 256,524 = 256,524 : x
  2. Step 2: Convert to fraction form
    120,219/256,524 = 256,524/x
  3. Step 3: Cross multiply
    120,219x = 256,524 × 256,524
  4. Step 4: Simplify right side
    120,219x = 65,804,562,576
  5. Step 5: Solve for x
    x = 65,804,562,576/120,219
  6. Step 6: Final answer
    x = 547,372.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.