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Finding the Third Proportional to 119,286 and 257,254

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Solution

The third proportional to 119,286 and 257,254 is: 554,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,286 : 257,254 = 257,254 : x
  2. Step 2: Convert to fraction form
    119,286/257,254 = 257,254/x
  3. Step 3: Cross multiply
    119,286x = 257,254 × 257,254
  4. Step 4: Simplify right side
    119,286x = 66,179,620,516
  5. Step 5: Solve for x
    x = 66,179,620,516/119,286
  6. Step 6: Final answer
    x = 554,797.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.