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Finding the Third Proportional to 120,639 and 254,886

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Solution

The third proportional to 120,639 and 254,886 is: 538,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639 : 254,886 = 254,886 : x
  2. Step 2: Convert to fraction form
    120,639/254,886 = 254,886/x
  3. Step 3: Cross multiply
    120,639x = 254,886 × 254,886
  4. Step 4: Simplify right side
    120,639x = 64,966,872,996
  5. Step 5: Solve for x
    x = 64,966,872,996/120,639
  6. Step 6: Final answer
    x = 538,522.97

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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.