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Finding the Third Proportional to 119,317 and 257,324

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Solution

The third proportional to 119,317 and 257,324 is: 554,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,317 : 257,324 = 257,324 : x
  2. Step 2: Convert to fraction form
    119,317/257,324 = 257,324/x
  3. Step 3: Cross multiply
    119,317x = 257,324 × 257,324
  4. Step 4: Simplify right side
    119,317x = 66,215,640,976
  5. Step 5: Solve for x
    x = 66,215,640,976/119,317
  6. Step 6: Final answer
    x = 554,955.63

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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.