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Finding the Third Proportional to 120,684 and 257,394

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Solution

The third proportional to 120,684 and 257,394 is: 548,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,684 : 257,394 = 257,394 : x
  2. Step 2: Convert to fraction form
    120,684/257,394 = 257,394/x
  3. Step 3: Cross multiply
    120,684x = 257,394 × 257,394
  4. Step 4: Simplify right side
    120,684x = 66,251,671,236
  5. Step 5: Solve for x
    x = 66,251,671,236/120,684
  6. Step 6: Final answer
    x = 548,968.14

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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.