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Finding the Third Proportional to 120,687 and 257,400

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Solution

The third proportional to 120,687 and 257,400 is: 548,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,687 : 257,400 = 257,400 : x
  2. Step 2: Convert to fraction form
    120,687/257,400 = 257,400/x
  3. Step 3: Cross multiply
    120,687x = 257,400 × 257,400
  4. Step 4: Simplify right side
    120,687x = 66,254,760,000
  5. Step 5: Solve for x
    x = 66,254,760,000/120,687
  6. Step 6: Final answer
    x = 548,980.09

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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.