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Finding the Third Proportional to 119,292 and 257,274

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Solution

The third proportional to 119,292 and 257,274 is: 554,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,292 : 257,274 = 257,274 : x
  2. Step 2: Convert to fraction form
    119,292/257,274 = 257,274/x
  3. Step 3: Cross multiply
    119,292x = 257,274 × 257,274
  4. Step 4: Simplify right side
    119,292x = 66,189,911,076
  5. Step 5: Solve for x
    x = 66,189,911,076/119,292
  6. Step 6: Final answer
    x = 554,856.24

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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.